466607768640 has 224 divisors, whose sum is σ = 1602125360640. Its totient is φ = 114375991296.

The previous prime is 466607768621. The next prime is 466607768659. The reversal of 466607768640 is 46867706664.

It is an interprime number because it is at equal distance from previous prime (466607768621) and next prime (466607768659).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2904502 + ... + 3060938.

It is an arithmetic number, because the mean of its divisors is an integer number (7152345360).

Almost surely, 2^466607768640 is an apocalyptic number.

466607768640 is a gapful number since it is divisible by the number (40) 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 466607768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801062680320).

466607768640 is an abundant number, since it is smaller than the sum of its proper divisors (1135517592000).

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

466607768640 is a wasteful number, since it uses less digits than its factorization.

466607768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156709 (or 156699 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 466607768640 in words is "four hundred sixty-six billion, six hundred seven million, seven hundred sixty-eight thousand, six hundred forty".