90759340620 has 192 divisors, whose sum is σ = 311155299840. Its totient is φ = 21821135616.

The previous prime is 90759340603. The next prime is 90759340621. The reversal of 90759340620 is 2604395709.

It is a happy number.

90759340620 is a `hidden beast` number, since 90 + 75 + 93 + 406 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90759340621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151527 + ... + 452193.

It is an arithmetic number, because the mean of its divisors is an integer number (1620600520).

Almost surely, 2^90759340620 is an apocalyptic number.

90759340620 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 90759340620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155577649920).

90759340620 is an abundant number, since it is smaller than the sum of its proper divisors (220395959220).

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

90759340620 is a wasteful number, since it uses less digits than its factorization.

90759340620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300741 (or 300733 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 90759340620 in words is "ninety billion, seven hundred fifty-nine million, three hundred forty thousand, six hundred twenty".