90454877980740 has 288 divisors, whose sum is σ = 337733073699840. Its totient is φ = 19083014995968.

The previous prime is 90454877980739. The next prime is 90454877980741. The reversal of 90454877980740 is 4708977845409.

90454877980740 is a `hidden beast` number, since 9 + 0 + 4 + 5 + 487 + 79 + 8 + 0 + 74 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90454877980739) and next prime (90454877980741).

It is not an unprimeable number, because it can be changed into a prime (90454877980741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161177541 + ... + 161737779.

It is an arithmetic number, because the mean of its divisors is an integer number (1172684283680).

Almost surely, 2^{90454877980740} is an apocalyptic number.

90454877980740 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 90454877980740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168866536849920).

90454877980740 is an abundant number, since it is smaller than the sum of its proper divisors (247278195719100).

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

90454877980740 is a wasteful number, since it uses less digits than its factorization.

90454877980740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570131 (or 570126 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 90454877980740 in words is "ninety trillion, four hundred fifty-four billion, eight hundred seventy-seven million, nine hundred eighty thousand, seven hundred forty".