7395897600000 has 3456 divisors, whose sum is σ = 35212698743040. Its totient is φ = 1450967040000.

The previous prime is 7395897599989. The next prime is 7395897600019. The reversal of 7395897600000 is 67985937.

It is a self number, because there is not a number n which added to its sum of digits gives 7395897600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89107199959 + ... + 89107200041.

It is an arithmetic number, because the mean of its divisors is an integer number (10188859590).

Almost surely, 2^{7395897600000} is an apocalyptic number.

7395897600000 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 7395897600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606349371520).

7395897600000 is an abundant number, since it is smaller than the sum of its proper divisors (27816801143040).

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

7395897600000 is a wasteful number, since it uses less digits than its factorization.

7395897600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 7395897600000 in words is "seven trillion, three hundred ninety-five billion, eight hundred ninety-seven million, six hundred thousand".