7997629785600 has 2880 divisors, whose sum is σ = 34984360857600. Its totient is φ = 1594117324800.

The previous prime is 7997629785581. The next prime is 7997629785617. The reversal of 7997629785600 is 65879267997.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40189094301 + ... + 40189094499.

It is an arithmetic number, because the mean of its divisors is an integer number (12147347520).

Almost surely, 2^{7997629785600} is an apocalyptic number.

7997629785600 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 7997629785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492180428800).

7997629785600 is an abundant number, since it is smaller than the sum of its proper divisors (26986731072000).

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

7997629785600 is a wasteful number, since it uses less digits than its factorization.

7997629785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 75.

The spelling of 7997629785600 in words is "seven trillion, nine hundred ninety-seven billion, six hundred twenty-nine million, seven hundred eighty-five thousand, six hundred".