83764633680 has 1200 divisors, whose sum is σ = 369026380800. Its totient is φ = 17594164224.

The previous prime is 83764633679. The next prime is 83764633723. The reversal of 83764633680 is 8633646738.

83764633680 is a `hidden beast` number, since 8 + 3 + 76 + 463 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 375626049 + ... + 375626271.

It is an arithmetic number, because the mean of its divisors is an integer number (307521984).

Almost surely, 2^83764633680 is an apocalyptic number.

83764633680 is a gapful number since it is divisible by the number (80) 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 83764633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184513190400).

83764633680 is an abundant number, since it is smaller than the sum of its proper divisors (285261747120).

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

83764633680 is a wasteful number, since it uses less digits than its factorization.

83764633680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 83764633680 in words is "eighty-three billion, seven hundred sixty-four million, six hundred thirty-three thousand, six hundred eighty".