90746979840 has 720 divisors, whose sum is σ = 353951501904. Its totient is φ = 21459271680.

The previous prime is 90746979839. The next prime is 90746979899. The reversal of 90746979840 is 4897964709.

90746979840 is a `hidden beast` number, since 90 + 7 + 469 + 7 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×90746979840³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119876742 + ... + 119877498.

Almost surely, 2^90746979840 is an apocalyptic number.

90746979840 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 90746979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176975750952).

90746979840 is an abundant number, since it is smaller than the sum of its proper divisors (263204522064).

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

90746979840 is a wasteful number, since it uses less digits than its factorization.

90746979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 90746979840 in words is "ninety billion, seven hundred forty-six million, nine hundred seventy-nine thousand, eight hundred forty".