36676130400 has 1152 divisors, whose sum is σ = 167149301760. Its totient is φ = 7554539520.

The previous prime is 36676130383. The next prime is 36676130443. The reversal of 36676130400 is 403167663.

It is a happy number.

36676130400 is a `hidden beast` number, since 36 + 6 + 7 + 613 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×36676130400² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 92383002 + ... + 92383398.

It is an arithmetic number, because the mean of its divisors is an integer number (145094880).

Almost surely, 2^36676130400 is an apocalyptic number.

36676130400 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 36676130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83574650880).

36676130400 is an abundant number, since it is smaller than the sum of its proper divisors (130473171360).

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

36676130400 is a wasteful number, since it uses less digits than its factorization.

36676130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 474 counting only the distinct ones).

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

The spelling of 36676130400 in words is "thirty-six billion, six hundred seventy-six million, one hundred thirty thousand, four hundred".