37764679680 has 1536 divisors, whose sum is σ = 176117760000. Its totient is φ = 7453016064.

The previous prime is 37764679679. The next prime is 37764679721. The reversal of 37764679680 is 8697646773.

37764679680 is a `hidden beast` number, since 3 + 7 + 7 + 6 + 467 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478033881 + ... + 478033959.

It is an arithmetic number, because the mean of its divisors is an integer number (114660000).

Almost surely, 2^37764679680 is an apocalyptic number.

37764679680 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 37764679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880000).

37764679680 is an abundant number, since it is smaller than the sum of its proper divisors (138353080320).

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

37764679680 is a wasteful number, since it uses less digits than its factorization.

37764679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 37764679680 in words is "thirty-seven billion, seven hundred sixty-four million, six hundred seventy-nine thousand, six hundred eighty".