290897629680 has 240 divisors, whose sum is σ = 1051796430720. Its totient is φ = 66314433024.

The previous prime is 290897629657. The next prime is 290897629681. The reversal of 290897629680 is 86926798092.

290897629680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290897629681) 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, 4424407 + ... + 4489673.

It is an arithmetic number, because the mean of its divisors is an integer number (4382485128).

Almost surely, 2^290897629680 is an apocalyptic number.

290897629680 is a gapful number since it is divisible by the number (20) 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 290897629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525898215360).

290897629680 is an abundant number, since it is smaller than the sum of its proper divisors (760898801040).

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

290897629680 is a wasteful number, since it uses less digits than its factorization.

290897629680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65676 (or 65663 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 290897629680 in words is "two hundred ninety billion, eight hundred ninety-seven million, six hundred twenty-nine thousand, six hundred eighty".