90676629120 has 1024 divisors, whose sum is σ = 386212147200. Its totient is φ = 17517772800.

The previous prime is 90676629119. The next prime is 90676629139. The reversal of 90676629120 is 2192667609.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90676629120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273947355 + ... + 273947685.

It is an arithmetic number, because the mean of its divisors is an integer number (377160300).

Almost surely, 2^90676629120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90676629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193106073600).

90676629120 is an abundant number, since it is smaller than the sum of its proper divisors (295535518080).

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

90676629120 is a wasteful number, since it uses less digits than its factorization.

90676629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 90676629120 in words is "ninety billion, six hundred seventy-six million, six hundred twenty-nine thousand, one hundred twenty".