36400452660 has 288 divisors, whose sum is σ = 130602326400. Its totient is φ = 8090035200.

The previous prime is 36400452589. The next prime is 36400452707. The reversal of 36400452660 is 6625400463.

36400452660 is a `hidden beast` number, since 3 + 640 + 0 + 4 + 5 + 2 + 6 + 6 + 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 95 ways as a sum of consecutive naturals, for example, 3830515 + ... + 3840005.

It is an arithmetic number, because the mean of its divisors is an integer number (453480300).

Almost surely, 2^36400452660 is an apocalyptic number.

36400452660 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 36400452660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65301163200).

36400452660 is an abundant number, since it is smaller than the sum of its proper divisors (94201873740).

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

36400452660 is a wasteful number, since it uses less digits than its factorization.

36400452660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9679 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 36400452660 in words is "thirty-six billion, four hundred million, four hundred fifty-two thousand, six hundred sixty".