90702766440000 has 4725 divisors, whose sum is σ = 410995392571071. Its totient is φ = 19748551680000.

The previous prime is 90702766439939. The next prime is 90702766440001. The reversal of 90702766440000 is 4466720709.

The square root of 90702766440000 is 9523800.

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

It can be written as a sum of positive squares in 22 ways, for example, as 86410112855616 + 4292653584384 = 9295704^2 + 2071872^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90702766440001) by changing a digit.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 2451426119982 + ... + 2451426120018.

Almost surely, 2^{90702766440000} is an apocalyptic number.

90702766440000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90702766440000 is the 9523800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90702766440000

90702766440000 is an abundant number, since it is smaller than the sum of its proper divisors (320292626131071).

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

90702766440000 is a wasteful number, since it uses less digits than its factorization.

90702766440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 90702766440000 in words is "ninety trillion, seven hundred two billion, seven hundred sixty-six million, four hundred forty thousand".