90964184739840 has 312 divisors, whose sum is σ = 317420243290800. Its totient is φ = 24094309220352.

The previous prime is 90964184739811. The next prime is 90964184739847. The reversal of 90964184739840 is 4893748146909.

90964184739840 is a `hidden beast` number, since 9 + 0 + 9 + 64 + 1 + 8 + 473 + 98 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90964184739847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25807599 + ... + 29119761.

It is an arithmetic number, because the mean of its divisors is an integer number (1017372574650).

Almost surely, 2^{90964184739840} is an apocalyptic number.

90964184739840 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 90964184739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158710121645400).

90964184739840 is an abundant number, since it is smaller than the sum of its proper divisors (226456058550960).

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

90964184739840 is a wasteful number, since it uses less digits than its factorization.

90964184739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312347 (or 3312322 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 90964184739840 in words is "ninety trillion, nine hundred sixty-four billion, one hundred eighty-four million, seven hundred thirty-nine thousand, eight hundred forty".