36406137600 has 486 divisors, whose sum is σ = 151422534900. Its totient is φ = 8320757760.

The previous prime is 36406137589. The next prime is 36406137637. The reversal of 36406137600 is 673160463.

It is a happy number.

36406137600 is a `hidden beast` number, since 3 + 6 + 40 + 6 + 1 + 3 + 7 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2815951 + ... + 2828849.

Almost surely, 2^36406137600 is an apocalyptic number.

36406137600 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 36406137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75711267450).

36406137600 is an abundant number, since it is smaller than the sum of its proper divisors (115016397300).

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

36406137600 is a wasteful number, since it uses less digits than its factorization.

36406137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12945 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 36406137600 in words is "thirty-six billion, four hundred six million, one hundred thirty-seven thousand, six hundred".