36651882456 has 384 divisors, whose sum is σ = 121426905600. Its totient is φ = 10141148160.

The previous prime is 36651882451. The next prime is 36651882539. The reversal of 36651882456 is 65428815663.

36651882456 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 188 + 2 + 456 = 666.

36651882456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36651882451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64188651 + ... + 64189221.

It is an arithmetic number, because the mean of its divisors is an integer number (316215900).

Almost surely, 2^36651882456 is an apocalyptic number.

36651882456 is a gapful number since it is divisible by the number (36) 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 36651882456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60713452800).

36651882456 is an abundant number, since it is smaller than the sum of its proper divisors (84775023144).

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

36651882456 is a wasteful number, since it uses less digits than its factorization.

36651882456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 36651882456 in words is "thirty-six billion, six hundred fifty-one million, eight hundred eighty-two thousand, four hundred fifty-six".