90905376744 has 192 divisors, whose sum is σ = 309466160640. Its totient is φ = 23464857600.

The previous prime is 90905376743. The next prime is 90905376773. The reversal of 90905376744 is 44767350909.

It is a happy number.

90905376744 is a `hidden beast` number, since 9 + 0 + 9 + 0 + 537 + 67 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (90905376743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160344 + ... + 455544.

It is an arithmetic number, because the mean of its divisors is an integer number (1611802920).

Almost surely, 2^90905376744 is an apocalyptic number.

90905376744 is a gapful number since it is divisible by the number (94) 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 90905376744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154733080320).

90905376744 is an abundant number, since it is smaller than the sum of its proper divisors (218560783896).

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

90905376744 is a wasteful number, since it uses less digits than its factorization.

90905376744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295280 (or 295273 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 90905376744 in words is "ninety billion, nine hundred five million, three hundred seventy-six thousand, seven hundred forty-four".