8071997751936 has 576 divisors, whose sum is σ = 25895970397440. Its totient is φ = 2409290956800.

The previous prime is 8071997751919. The next prime is 8071997751953. The reversal of 8071997751936 is 6391577991708.

8071997751936 is a `hidden beast` number, since 8 + 0 + 7 + 1 + 9 + 9 + 77 + 519 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (8071997751919) and next prime (8071997751953).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 554350096 + ... + 554364656.

It is an arithmetic number, because the mean of its divisors is an integer number (44958281940).

Almost surely, 2^{8071997751936} is an apocalyptic number.

8071997751936 is a gapful number since it is divisible by the number (86) 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 8071997751936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947985198720).

8071997751936 is an abundant number, since it is smaller than the sum of its proper divisors (17823972645504).

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

8071997751936 is a wasteful number, since it uses less digits than its factorization.

8071997751936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14693 (or 14659 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 72.

The spelling of 8071997751936 in words is "eight trillion, seventy-one billion, nine hundred ninety-seven million, seven hundred fifty-one thousand, nine hundred thirty-six".