36400672000 has 864 divisors, whose sum is σ = 122137666560. Its totient is φ = 10543104000.

The previous prime is 36400671997. The next prime is 36400672019. The reversal of 36400672000 is 27600463.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 36400672000.

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, 460767961 + ... + 460768039.

It is an arithmetic number, because the mean of its divisors is an integer number (141363040).

Almost surely, 2^36400672000 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 36400672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61068833280).

36400672000 is an abundant number, since it is smaller than the sum of its proper divisors (85736994560).

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

36400672000 is a wasteful number, since it uses less digits than its factorization.

36400672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 36400672000 in words is "thirty-six billion, four hundred million, six hundred seventy-two thousand".