83752976412864 has 504 divisors, whose sum is σ = 273469581665280. Its totient is φ = 24462979200000.

The previous prime is 83752976412851. The next prime is 83752976412877. The reversal of 83752976412864 is 46821467925738.

83752976412864 is a `hidden beast` number, since 8 + 3 + 7 + 529 + 7 + 6 + 4 + 12 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (83752976412851) and next prime (83752976412877).

It is a super-2 number, since 2×83752976412864² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 83752976412792 and 83752976412801.

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, 542227357 + ... + 542381795.

It is an arithmetic number, because the mean of its divisors is an integer number (542598376320).

Almost surely, 2^{83752976412864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83752976412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136734790832640).

83752976412864 is an abundant number, since it is smaller than the sum of its proper divisors (189716605252416).

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

83752976412864 is a wasteful number, since it uses less digits than its factorization.

83752976412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154761 (or 154737 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 83752976412864 in words is "eighty-three trillion, seven hundred fifty-two billion, nine hundred seventy-six million, four hundred twelve thousand, eight hundred sixty-four".