36670468800 has 672 divisors, whose sum is σ = 149070316032. Its totient is φ = 7700152320.

The previous prime is 36670468789. The next prime is 36670468831. The reversal of 36670468800 is 886407663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36670468800.

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, 24560854 + ... + 24562346.

Almost surely, 2^36670468800 is an apocalyptic number.

36670468800 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 36670468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74535158016).

36670468800 is an abundant number, since it is smaller than the sum of its proper divisors (112399847232).

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

36670468800 is a wasteful number, since it uses less digits than its factorization.

36670468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 36670468800 in words is "thirty-six billion, six hundred seventy million, four hundred sixty-eight thousand, eight hundred".