90629319648 has 288 divisors, whose sum is σ = 293142810240. Its totient is φ = 24376826880.

The previous prime is 90629319607. The next prime is 90629319713. The reversal of 90629319648 is 84691392609.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14565178 + ... + 14571398.

It is an arithmetic number, because the mean of its divisors is an integer number (1017856980).

Almost surely, 2^90629319648 is an apocalyptic number.

90629319648 is a gapful number since it is divisible by the number (98) 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 90629319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146571405120).

90629319648 is an abundant number, since it is smaller than the sum of its proper divisors (202513490592).

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

90629319648 is a wasteful number, since it uses less digits than its factorization.

90629319648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 90629319648 in words is "ninety billion, six hundred twenty-nine million, three hundred nineteen thousand, six hundred forty-eight".