37406654464 has 45 divisors (see below), whose sum is σ = 74860569511. Its totient is φ = 18690949120.

The previous prime is 37406654443. The next prime is 37406654477. The reversal of 37406654464 is 46445660473.

The square root of 37406654464 is 193408.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×37406654464² (a number of 22 digits) contains 22 as substring.

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 24755469 + ... + 24756979.

Almost surely, 2^37406654464 is an apocalyptic number.

37406654464 is the 193408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37406654464

37406654464 is an abundant number, since it is smaller than the sum of its proper divisors (37453915047).

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

37406654464 is an frugal number, since it uses more digits than its factorization.

37406654464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 49.

Multiplying 37406654464 by its sum of digits (49), we get a square (1832926068736 = 1353856²).

The spelling of 37406654464 in words is "thirty-seven billion, four hundred six million, six hundred fifty-four thousand, four hundred sixty-four".