7974385106688 has 3168 divisors, whose sum is σ = 35038379077632. Its totient is φ = 1741425868800.

The previous prime is 7974385106647. The next prime is 7974385106741. The reversal of 7974385106688 is 8866015834797.

7974385106688 is a `hidden beast` number, since 7 + 9 + 7 + 43 + 8 + 510 + 6 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 257238229233 + ... + 257238229263.

Almost surely, 2^{7974385106688} is an apocalyptic number.

7974385106688 is a gapful number since it is divisible by the number (78) 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 7974385106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519189538816).

7974385106688 is an abundant number, since it is smaller than the sum of its proper divisors (27063993970944).

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

7974385106688 is a wasteful number, since it uses less digits than its factorization.

7974385106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 7974385106688 in words is "seven trillion, nine hundred seventy-four billion, three hundred eighty-five million, one hundred six thousand, six hundred eighty-eight".