36672663378960 has 1920 divisors, whose sum is σ = 161722649088000. Its totient is φ = 7245764886528.

The previous prime is 36672663378959. The next prime is 36672663378971. The reversal of 36672663378960 is 6987336627663.

36672663378960 is a `hidden beast` number, since 36 + 6 + 72 + 66 + 337 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9730075956 + ... + 9730079724.

It is an arithmetic number, because the mean of its divisors is an integer number (84230546400).

Almost surely, 2^{36672663378960} is an apocalyptic number.

36672663378960 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 36672663378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80861324544000).

36672663378960 is an abundant number, since it is smaller than the sum of its proper divisors (125049985709040).

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

36672663378960 is a wasteful number, since it uses less digits than its factorization.

36672663378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 72.

The spelling of 36672663378960 in words is "thirty-six trillion, six hundred seventy-two billion, six hundred sixty-three million, three hundred seventy-eight thousand, nine hundred sixty".