407631581760 has 896 divisors, whose sum is σ = 1493178624000. Its totient is φ = 93500080128.

The previous prime is 407631581759. The next prime is 407631581771. The reversal of 407631581760 is 67185136704.

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 127 ways as a sum of consecutive naturals, for example, 1515358906 + ... + 1515359174.

It is an arithmetic number, because the mean of its divisors is an integer number (1666494000).

Almost surely, 2^407631581760 is an apocalyptic number.

407631581760 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 407631581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746589312000).

407631581760 is an abundant number, since it is smaller than the sum of its proper divisors (1085547042240).

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

407631581760 is a wasteful number, since it uses less digits than its factorization.

407631581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 407631581760 in words is "four hundred seven billion, six hundred thirty-one million, five hundred eighty-one thousand, seven hundred sixty".