90767292345864 has 96 divisors (see below), whose sum is σ = 254359642095000. Its totient is φ = 29206175179776.

The previous prime is 90767292345823. The next prime is 90767292345871. The reversal of 90767292345864 is 46854329276709.

90767292345864 is a `hidden beast` number, since 9 + 0 + 7 + 6 + 7 + 2 + 9 + 2 + 34 + 586 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78216866640900 + 12550425704964 = 8844030^2 + 3542658^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 90767292345792 and 90767292345801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5031814 + ... + 14382410.

Almost surely, 2^{90767292345864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90767292345864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127179821047500).

90767292345864 is an abundant number, since it is smaller than the sum of its proper divisors (163592349749136).

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

90767292345864 is a wasteful number, since it uses less digits than its factorization.

90767292345864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9355287 (or 9355280 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 90767292345864 in words is "ninety trillion, seven hundred sixty-seven billion, two hundred ninety-two million, three hundred forty-five thousand, eight hundred sixty-four".