90623473920 has 1440 divisors, whose sum is σ = 397459560960. Its totient is φ = 19269550080.

The previous prime is 90623473901. The next prime is 90623473961. The reversal of 90623473920 is 2937432609.

90623473920 is a `hidden beast` number, since 90 + 6 + 2 + 3 + 473 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×90623473920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1018241236 + ... + 1018241324.

It is an arithmetic number, because the mean of its divisors is an integer number (276013584).

Almost surely, 2^90623473920 is an apocalyptic number.

90623473920 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 90623473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198729780480).

90623473920 is an abundant number, since it is smaller than the sum of its proper divisors (306836087040).

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

90623473920 is a wasteful number, since it uses less digits than its factorization.

90623473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 90623473920 in words is "ninety billion, six hundred twenty-three million, four hundred seventy-three thousand, nine hundred twenty".