37669131472896 has 1248 divisors, whose sum is σ = 138311092408320. Its totient is φ = 9594608025600.

The previous prime is 37669131472823. The next prime is 37669131472901. The reversal of 37669131472896 is 69827413196673.

37669131472896 is a `hidden beast` number, since 3 + 7 + 6 + 69 + 1 + 3 + 1 + 472 + 8 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38794161691 + ... + 38794162661.

It is an arithmetic number, because the mean of its divisors is an integer number (110826195840).

Almost surely, 2^{37669131472896} is an apocalyptic number.

37669131472896 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 37669131472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69155546204160).

37669131472896 is an abundant number, since it is smaller than the sum of its proper divisors (100641960935424).

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

37669131472896 is a wasteful number, since it uses less digits than its factorization.

37669131472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1246 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 37669131472896 in words is "thirty-seven trillion, six hundred sixty-nine billion, one hundred thirty-one million, four hundred seventy-two thousand, eight hundred ninety-six".