37979504640 has 960 divisors, whose sum is σ = 169109176320. Its totient is φ = 7856455680.

The previous prime is 37979504627. The next prime is 37979504659. The reversal of 37979504640 is 4640597973.

It is a happy number.

37979504640 is a `hidden beast` number, since 3 + 7 + 9 + 79 + 504 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170311569 + ... + 170311791.

It is an arithmetic number, because the mean of its divisors is an integer number (176155392).

Almost surely, 2^37979504640 is an apocalyptic number.

37979504640 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 37979504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84554588160).

37979504640 is an abundant number, since it is smaller than the sum of its proper divisors (131129671680).

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

37979504640 is a wasteful number, since it uses less digits than its factorization.

37979504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 37979504640 in words is "thirty-seven billion, nine hundred seventy-nine million, five hundred four thousand, six hundred forty".