36466502400 has 864 divisors, whose sum is σ = 145990656000. Its totient is φ = 8871690240.

The previous prime is 36466502393. The next prime is 36466502411. The reversal of 36466502400 is 420566463.

36466502400 is a `hidden beast` number, since 3 + 646 + 6 + 5 + 0 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 95212609 + ... + 95212991.

Almost surely, 2^36466502400 is an apocalyptic number.

36466502400 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 36466502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72995328000).

36466502400 is an abundant number, since it is smaller than the sum of its proper divisors (109524153600).

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

36466502400 is a wasteful number, since it uses less digits than its factorization.

36466502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 441 counting only the distinct ones).

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

The spelling of 36466502400 in words is "thirty-six billion, four hundred sixty-six million, five hundred two thousand, four hundred".