7253593079040 has 1728 divisors, whose sum is σ = 32729466212352. Its totient is φ = 1506637946880.

The previous prime is 7253593078999. The next prime is 7253593079041. The reversal of 7253593079040 is 409703953527.

7253593079040 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 593 + 0 + 7 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×7253593079040² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7253593079041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2897958429 + ... + 2897960931.

Almost surely, 2^{7253593079040} is an apocalyptic number.

7253593079040 is a gapful number since it is divisible by the number (70) 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 7253593079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364733106176).

7253593079040 is an abundant number, since it is smaller than the sum of its proper divisors (25475873133312).

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

7253593079040 is an equidigital number, since it uses as much as digits as its factorization.

7253593079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 7253593079040 in words is "seven trillion, two hundred fifty-three billion, five hundred ninety-three million, seventy-nine thousand, forty".