7901725511680 has 2496 divisors, whose sum is σ = 28463224366080. Its totient is φ = 2061080985600.

The previous prime is 7901725511627. The next prime is 7901725511711. The reversal of 7901725511680 is 861155271097.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100021841881 + ... + 100021841959.

Almost surely, 2^{7901725511680} is an apocalyptic number.

7901725511680 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 7901725511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14231612183040).

7901725511680 is an abundant number, since it is smaller than the sum of its proper divisors (20561498854400).

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

7901725511680 is a wasteful number, since it uses less digits than its factorization.

7901725511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 52.

The spelling of 7901725511680 in words is "seven trillion, nine hundred one billion, seven hundred twenty-five million, five hundred eleven thousand, six hundred eighty".