36673407408 has 160 divisors (see below), whose sum is σ = 105833226240. Its totient is φ = 10847668480.

The previous prime is 36673407383. The next prime is 36673407427. The reversal of 36673407408 is 80470437663.

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

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 31 ways as a sum of consecutive naturals, for example, 10396141 + ... + 10399667.

It is an arithmetic number, because the mean of its divisors is an integer number (661457664).

Almost surely, 2^36673407408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36673407408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52916613120).

36673407408 is an abundant number, since it is smaller than the sum of its proper divisors (69159818832).

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

36673407408 is a wasteful number, since it uses less digits than its factorization.

36673407408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 36673407408 in words is "thirty-six billion, six hundred seventy-three million, four hundred seven thousand, four hundred eight".