36712166400 has 1584 divisors, whose sum is σ = 172960429824. Its totient is φ = 7219445760.

The previous prime is 36712166371. The next prime is 36712166411. The reversal of 36712166400 is 466121763.

It is a happy number.

36712166400 is a `hidden beast` number, since 3 + 6 + 7 + 1 + 2 + 1 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 356428749 + ... + 356428851.

Almost surely, 2^36712166400 is an apocalyptic number.

36712166400 is a gapful number since it is divisible by the number (30) 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 36712166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86480214912).

36712166400 is an abundant number, since it is smaller than the sum of its proper divisors (136248263424).

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

36712166400 is a wasteful number, since it uses less digits than its factorization.

36712166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 36712166400 in words is "thirty-six billion, seven hundred twelve million, one hundred sixty-six thousand, four hundred".