90702004537600 has 81 divisors (see below), whose sum is σ = 224503519258137. Its totient is φ = 36280497054720.

The previous prime is 90702004537597. The next prime is 90702004537603. The reversal of 90702004537600 is 673540020709.

The square root of 90702004537600 is 9523760.

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

It is an interprime number because it is at equal distance from previous prime (90702004537597) and next prime (90702004537603).

It can be written as a sum of positive squares in only one way, i.e., 32652721633536 + 58049282904064 = 5714256^2 + 7619008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90702004537603) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 761841277 + ... + 761960323.

Almost surely, 2^{90702004537600} is an apocalyptic number.

90702004537600 is the 9523760-th square number.

It is an amenable number.

90702004537600 is an abundant number, since it is smaller than the sum of its proper divisors (133801514720537).

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

90702004537600 is an frugal number, since it uses more digits than its factorization.

90702004537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238120 (or 119054 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 90702004537600 in words is "ninety trillion, seven hundred two billion, four million, five hundred thirty-seven thousand, six hundred".