636940130400 has 1152 divisors, whose sum is σ = 2692297681920. Its totient is φ = 144111052800.

The previous prime is 636940130369. The next prime is 636940130423. The reversal of 636940130400 is 4031049636.

636940130400 is a `hidden beast` number, since 6 + 36 + 94 + 0 + 130 + 400 = 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 191 ways as a sum of consecutive naturals, for example, 1604383002 + ... + 1604383398.

It is an arithmetic number, because the mean of its divisors is an integer number (2337063960).

Almost surely, 2^636940130400 is an apocalyptic number.

636940130400 is a gapful number since it is divisible by the number (60) 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 636940130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346148840960).

636940130400 is an abundant number, since it is smaller than the sum of its proper divisors (2055357551520).

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

636940130400 is a wasteful number, since it uses less digits than its factorization.

636940130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 636940130400 in words is "six hundred thirty-six billion, nine hundred forty million, one hundred thirty thousand, four hundred".