37845190656 has 960 divisors, whose sum is σ = 146507961600. Its totient is φ = 9459597312.

The previous prime is 37845190639. The next prime is 37845190657. The reversal of 37845190656 is 65609154873.

37845190656 is a `hidden beast` number, since 3 + 78 + 4 + 519 + 0 + 6 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37845190657) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 347203530 + ... + 347203638.

It is an arithmetic number, because the mean of its divisors is an integer number (152612460).

Almost surely, 2^37845190656 is an apocalyptic number.

37845190656 is a gapful number since it is divisible by the number (36) 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 37845190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73253980800).

37845190656 is an abundant number, since it is smaller than the sum of its proper divisors (108662770944).

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

37845190656 is a wasteful number, since it uses less digits than its factorization.

37845190656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 37845190656 in words is "thirty-seven billion, eight hundred forty-five million, one hundred ninety thousand, six hundred fifty-six".