36649463054400 has 567 divisors, whose sum is σ = 151548949803069. Its totient is φ = 8375857781760.

The previous prime is 36649463054381. The next prime is 36649463054441. The reversal of 36649463054400 is 445036494663.

The square root of 36649463054400 is 6053880.

It is a perfect power (a square), and thus also a powerful number.

36649463054400 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 94 + 6 + 3 + 0 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13193806699584 + 23455656354816 = 3632328^2 + 4843104^2 .

It is a super-3 number, since 3×36649463054400³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5085255597 + ... + 5085262803.

Almost surely, 2^{36649463054400} is an apocalyptic number.

36649463054400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36649463054400 is the 6053880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36649463054400

36649463054400 is an abundant number, since it is smaller than the sum of its proper divisors (114899486748669).

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

36649463054400 is an frugal number, since it uses more digits than its factorization.

36649463054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456 (or 7224 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 36649463054400 in words is "thirty-six trillion, six hundred forty-nine billion, four hundred sixty-three million, fifty-four thousand, four hundred".