37794977608644 has 81 divisors (see below), whose sum is σ = 99873942068173. Its totient is φ = 12050302069344.

The previous prime is 37794977608631. The next prime is 37794977608691. The reversal of 37794977608644 is 44680677949773.

The square root of 37794977608644 is 6147762.

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

37794977608644 is a `hidden beast` number, since 3 + 7 + 7 + 9 + 497 + 7 + 6 + 0 + 86 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5311817248644 + 32483160360000 = 2304738^2 + 5699400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 848368882 + ... + 848413430.

Almost surely, 2^{37794977608644} is an apocalyptic number.

37794977608644 is the 6147762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37794977608644

37794977608644 is an abundant number, since it is smaller than the sum of its proper divisors (62078964459529).

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

37794977608644 is an frugal number, since it uses more digits than its factorization.

37794977608644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89154 (or 44577 counting only the distinct ones).

The product of its (nonzero) digits is 10754021376, while the sum is 81.

The spelling of 37794977608644 in words is "thirty-seven trillion, seven hundred ninety-four billion, nine hundred seventy-seven million, six hundred eight thousand, six hundred forty-four".