631324760040 has 672 divisors, whose sum is σ = 2371313909160. Its totient is φ = 150303237120.

The previous prime is 631324760023. The next prime is 631324760051. The reversal of 631324760040 is 40067423136.

It is a happy number.

631324760040 is a `hidden beast` number, since 6 + 3 + 1 + 3 + 2 + 4 + 7 + 600 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 377435752164 + 253889007876 = 614358^2 + 503874^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 631324759977 and 631324760004.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 364295014 + ... + 364296746.

Almost surely, 2^631324760040 is an apocalyptic number.

631324760040 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 631324760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185656954580).

631324760040 is an abundant number, since it is smaller than the sum of its proper divisors (1739989149120).

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

631324760040 is a wasteful number, since it uses less digits than its factorization.

631324760040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 631324760040 in words is "six hundred thirty-one billion, three hundred twenty-four million, seven hundred sixty thousand, forty".