90678702441600 has 7680 divisors, whose sum is σ = 459093016166400. Its totient is φ = 17091772416000.

The previous prime is 90678702441533. The next prime is 90678702441623. The reversal of 90678702441600 is 614420787609.

90678702441600 is a `hidden beast` number, since 9 + 0 + 6 + 7 + 8 + 7 + 0 + 24 + 4 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 959 ways as a sum of consecutive naturals, for example, 847464508747 + ... + 847464508853.

It is an arithmetic number, because the mean of its divisors is an integer number (59777736480).

Almost surely, 2^{90678702441600} is an apocalyptic number.

90678702441600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90678702441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229546508083200).

90678702441600 is an abundant number, since it is smaller than the sum of its proper divisors (368414313724800).

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

90678702441600 is a wasteful number, since it uses less digits than its factorization.

90678702441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 90678702441600 in words is "ninety trillion, six hundred seventy-eight billion, seven hundred two million, four hundred forty-one thousand, six hundred".