37807906964472 has 128 divisors (see below), whose sum is σ = 106527433608000. Its totient is φ = 12577873093632.

The previous prime is 37807906964453. The next prime is 37807906964473. The reversal of 37807906964472 is 27446960970873.

It is a happy number.

37807906964472 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 7 + 90 + 6 + 9 + 64 + 472 = 666.

It is a super-3 number, since 3×37807906964472³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 37807906964472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37807906964473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6782728 + ... + 11028200.

Almost surely, 2^{37807906964472} 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 37807906964472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53263716804000).

37807906964472 is an abundant number, since it is smaller than the sum of its proper divisors (68719526643528).

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

37807906964472 is an equidigital number, since it uses as much as digits as its factorization.

37807906964472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246009 (or 4245987 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 37807906964472 in words is "thirty-seven trillion, eight hundred seven billion, nine hundred six million, nine hundred sixty-four thousand, four hundred seventy-two".