36865952928 has 768 divisors, whose sum is σ = 136249344000. Its totient is φ = 9461836800.

The previous prime is 36865952927. The next prime is 36865952941. The reversal of 36865952928 is 82925956863.

36865952928 is a `hidden beast` number, since 3 + 6 + 86 + 5 + 9 + 529 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36865952927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281419423 + ... + 281419553.

It is an arithmetic number, because the mean of its divisors is an integer number (177408000).

Almost surely, 2^36865952928 is an apocalyptic number.

36865952928 is a gapful number since it is divisible by the number (38) 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 36865952928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68124672000).

36865952928 is an abundant number, since it is smaller than the sum of its proper divisors (99383391072).

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

36865952928 is a wasteful number, since it uses less digits than its factorization.

36865952928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 36865952928 in words is "thirty-six billion, eight hundred sixty-five million, nine hundred fifty-two thousand, nine hundred twenty-eight".