90725963328 has 1344 divisors, whose sum is σ = 373601894400. Its totient is φ = 21215416320.

The previous prime is 90725963327. The next prime is 90725963347. The reversal of 90725963328 is 82336952709.

It is a happy number.

90725963328 is a `hidden beast` number, since 9 + 0 + 7 + 259 + 63 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90725963327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 714377601 + ... + 714377727.

It is an arithmetic number, because the mean of its divisors is an integer number (277977600).

Almost surely, 2^90725963328 is an apocalyptic number.

90725963328 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 90725963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186800947200).

90725963328 is an abundant number, since it is smaller than the sum of its proper divisors (282875931072).

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

90725963328 is a wasteful number, since it uses less digits than its factorization.

90725963328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 90725963328 in words is "ninety billion, seven hundred twenty-five million, nine hundred sixty-three thousand, three hundred twenty-eight".