7993962816000 has 640 divisors, whose sum is σ = 31081389520896. Its totient is φ = 1784685772800.

The previous prime is 7993962815987. The next prime is 7993962816013. The reversal of 7993962816000 is 6182693997.

It is an interprime number because it is at equal distance from previous prime (7993962815987) and next prime (7993962816013).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57722839 + ... + 57861161.

Almost surely, 2^{7993962816000} is an apocalyptic number.

7993962816000 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 7993962816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540694760448).

7993962816000 is an abundant number, since it is smaller than the sum of its proper divisors (23087426704896).

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

7993962816000 is a wasteful number, since it uses less digits than its factorization.

7993962816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138409 (or 138383 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 7993962816000 in words is "seven trillion, nine hundred ninety-three billion, nine hundred sixty-two million, eight hundred sixteen thousand".