7527725162496 has 1792 divisors, whose sum is σ = 30005897011200. Its totient is φ = 1805923123200.

The previous prime is 7527725162471. The next prime is 7527725162549. The reversal of 7527725162496 is 6942615277257.

It is a happy number.

7527725162496 is a `hidden beast` number, since 7 + 5 + 2 + 7 + 7 + 2 + 516 + 24 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×7527725162496² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13914463986 + ... + 13914464526.

Almost surely, 2^{7527725162496} is an apocalyptic number.

7527725162496 is a gapful number since it is divisible by the number (76) 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 7527725162496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002948505600).

7527725162496 is an abundant number, since it is smaller than the sum of its proper divisors (22478171848704).

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

7527725162496 is a wasteful number, since it uses less digits than its factorization.

7527725162496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 626 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 7527725162496 in words is "seven trillion, five hundred twenty-seven billion, seven hundred twenty-five million, one hundred sixty-two thousand, four hundred ninety-six".