36878865408 has 704 divisors, whose sum is σ = 144318412800. Its totient is φ = 9006612480.

The previous prime is 36878865407. The next prime is 36878865421. The reversal of 36878865408 is 80456887863.

36878865408 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 8 + 86 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36878865407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36190723 + ... + 36191741.

Almost surely, 2^36878865408 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 36878865408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72159206400).

36878865408 is an abundant number, since it is smaller than the sum of its proper divisors (107439547392).

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

36878865408 is a wasteful number, since it uses less digits than its factorization.

36878865408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 36878865408 in words is "thirty-six billion, eight hundred seventy-eight million, eight hundred sixty-five thousand, four hundred eight".