37445641632 has 180 divisors, whose sum is σ = 128106878130. Its totient is φ = 10698718464.

The previous prime is 37445641621. The next prime is 37445641661. The reversal of 37445641632 is 23614654473.

37445641632 is a `hidden beast` number, since 3 + 7 + 4 + 4 + 5 + 6 + 4 + 1 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37358704656 + 86936976 = 193284^2 + 9324^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20407 + ... + 274422.

Almost surely, 2^37445641632 is an apocalyptic number.

37445641632 is a gapful number since it is divisible by the number (32) 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 37445641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64053439065).

37445641632 is an abundant number, since it is smaller than the sum of its proper divisors (90661236498).

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

37445641632 is a wasteful number, since it uses less digits than its factorization.

37445641632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294865 (or 294841 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

It can be divided in two parts, 3744 and 5641632, that added together give a square (5645376 = 2376²).

The spelling of 37445641632 in words is "thirty-seven billion, four hundred forty-five million, six hundred forty-one thousand, six hundred thirty-two".