7295607042048 has 1664 divisors, whose sum is σ = 25601842022400. Its totient is φ = 2034864488448.

The previous prime is 7295607042047. The next prime is 7295607042083. The reversal of 7295607042048 is 8402407065927.

7295607042048 is a `hidden beast` number, since 7 + 2 + 9 + 5 + 607 + 0 + 4 + 20 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×7295607042048² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7295607041985 and 7295607042003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7295607042041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81973112788 + ... + 81973112876.

Almost surely, 2^{7295607042048} is an apocalyptic number.

7295607042048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7295607042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800921011200).

7295607042048 is an abundant number, since it is smaller than the sum of its proper divisors (18306234980352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7295607042048 is a wasteful number, since it uses less digits than its factorization.

7295607042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 7295607042048 in words is "seven trillion, two hundred ninety-five billion, six hundred seven million, forty-two thousand, forty-eight".