290772799488 has 520 divisors, whose sum is σ = 922922563200. Its totient is φ = 90965016576.

The previous prime is 290772799483. The next prime is 290772799517. The reversal of 290772799488 is 884997277092.

290772799488 is a `hidden beast` number, since 2 + 9 + 0 + 7 + 72 + 79 + 9 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290772799483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1216622473 + ... + 1216622711.

Almost surely, 2^290772799488 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 290772799488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461461281600).

290772799488 is an abundant number, since it is smaller than the sum of its proper divisors (632149763712).

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

290772799488 is a wasteful number, since it uses less digits than its factorization.

290772799488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 290772799488 in words is "two hundred ninety billion, seven hundred seventy-two million, seven hundred ninety-nine thousand, four hundred eighty-eight".