8740537473600 has 567 divisors, whose sum is σ = 31600712518921. Its totient is φ = 2291359257600.

The previous prime is 8740537473589. The next prime is 8740537473623. The reversal of 8740537473600 is 63747350478.

The square root of 8740537473600 is 2956440.

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

8740537473600 is a `hidden beast` number, since 8 + 7 + 4 + 0 + 537 + 47 + 3 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3146593490496 + 5593943983104 = 1773864^2 + 2365152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25188868627 + ... + 25188868973.

Almost surely, 2^{8740537473600} is an apocalyptic number.

8740537473600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8740537473600 is the 2956440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8740537473600

8740537473600 is an abundant number, since it is smaller than the sum of its proper divisors (22860175045321).

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

8740537473600 is an equidigital number, since it uses as much as digits as its factorization.

8740537473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 8740537473600 in words is "eight trillion, seven hundred forty billion, five hundred thirty-seven million, four hundred seventy-three thousand, six hundred".