90464053680 has 960 divisors, whose sum is σ = 421173043200. Its totient is φ = 16787865600.

The previous prime is 90464053633. The next prime is 90464053697. The reversal of 90464053680 is 8635046409.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22340296 + ... + 22344344.

It is an arithmetic number, because the mean of its divisors is an integer number (438721920).

Almost surely, 2^90464053680 is an apocalyptic number.

90464053680 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 90464053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210586521600).

90464053680 is an abundant number, since it is smaller than the sum of its proper divisors (330708989520).

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

90464053680 is a wasteful number, since it uses less digits than its factorization.

90464053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90464053680 in words is "ninety billion, four hundred sixty-four million, fifty-three thousand, six hundred eighty".