631485753575040 has 6144 divisors, whose sum is σ = 2947835068416000. Its totient is φ = 124921865502720.

The previous prime is 631485753575029. The next prime is 631485753575041. The reversal of 631485753575040 is 40575357584136.

631485753575040 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 8 + 5 + 7 + 53 + 575 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×631485753575040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (631485753575041) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4543062975291 + ... + 4543062975429.

It is an arithmetic number, because the mean of its divisors is an integer number (479790864000).

Almost surely, 2^{631485753575040} is an apocalyptic number.

631485753575040 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 631485753575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473917534208000).

631485753575040 is an abundant number, since it is smaller than the sum of its proper divisors (2316349314840960).

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

631485753575040 is a wasteful number, since it uses less digits than its factorization.

631485753575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 211680000, while the sum is 63.

The spelling of 631485753575040 in words is "six hundred thirty-one trillion, four hundred eighty-five billion, seven hundred fifty-three million, five hundred seventy-five thousand, forty".