631473935040 has 672 divisors, whose sum is σ = 2517256880640. Its totient is φ = 148673581056.

The previous prime is 631473935003. The next prime is 631473935101. The reversal of 631473935040 is 40539374136.

631473935040 is a `hidden beast` number, since 6 + 3 + 1 + 473 + 93 + 50 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33574279 + ... + 33593081.

Almost surely, 2^631473935040 is an apocalyptic number.

631473935040 is a gapful number since it is divisible by the number (60) 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 631473935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258628440320).

631473935040 is an abundant number, since it is smaller than the sum of its proper divisors (1885782945600).

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

631473935040 is a wasteful number, since it uses less digits than its factorization.

631473935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18878 (or 18849 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 631473935040 in words is "six hundred thirty-one billion, four hundred seventy-three million, nine hundred thirty-five thousand, forty".