290017627680 has 96 divisors (see below), whose sum is σ = 996606047808. Its totient is φ = 70307302400.

The previous prime is 290017627637. The next prime is 290017627741. The reversal of 290017627680 is 86726710092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×290017627680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27458511 + ... + 27469070.

It is an arithmetic number, because the mean of its divisors is an integer number (10381312998).

Almost surely, 2^290017627680 is an apocalyptic number.

290017627680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290017627680 is an abundant number, since it is smaller than the sum of its proper divisors (706588420128).

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

290017627680 is a wasteful number, since it uses less digits than its factorization.

290017627680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54927610 (or 54927602 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 290017627680 in words is "two hundred ninety billion, seventeen million, six hundred twenty-seven thousand, six hundred eighty".