468090151760 has 160 divisors (see below), whose sum is σ = 1384545312000. Its totient is φ = 145898135040.

The previous prime is 468090151747. The next prime is 468090151819. The reversal of 468090151760 is 67151090864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473555 + ... + 1077234.

It is an arithmetic number, because the mean of its divisors is an integer number (8653408200).

Almost surely, 2^468090151760 is an apocalyptic number.

468090151760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468090151760 is an abundant number, since it is smaller than the sum of its proper divisors (916455160240).

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

468090151760 is a wasteful number, since it uses less digits than its factorization.

468090151760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550834 (or 1550814 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 468090151760 in words is "four hundred sixty-eight billion, ninety million, one hundred fifty-one thousand, seven hundred sixty".