36767312764000 has 384 divisors, whose sum is σ = 112204514822400. Its totient is φ = 11529481420800.

The previous prime is 36767312763977. The next prime is 36767312764009. The reversal of 36767312764000 is 46721376763.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36767312764009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39212656 + ... + 40139344.

It is an arithmetic number, because the mean of its divisors is an integer number (292199257350).

Almost surely, 2^{36767312764000} 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 36767312764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56102257411200).

36767312764000 is an abundant number, since it is smaller than the sum of its proper divisors (75437202058400).

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

36767312764000 is a wasteful number, since it uses less digits than its factorization.

36767312764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926843 (or 926825 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 52.

The spelling of 36767312764000 in words is "thirty-six trillion, seven hundred sixty-seven billion, three hundred twelve million, seven hundred sixty-four thousand".