31672695075840 has 3960 divisors, whose sum is σ = 147900708701928. Its totient is φ = 6227090472960.

The previous prime is 31672695075823. The next prime is 31672695075883. The reversal of 31672695075840 is 4857059627613.

31672695075840 is a `hidden beast` number, since 3 + 1 + 6 + 72 + 6 + 9 + 507 + 58 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 966556394496 + 30706138681344 = 983136^2 + 5541312^2 .

It is a super-2 number, since 2×31672695075840² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 519224509410 + ... + 519224509470.

It is a 1-persistent number, because it is pandigital, but 2⋅31672695075840 = 63345390151680 is not.

Almost surely, 2^{31672695075840} is an apocalyptic number.

31672695075840 is a gapful number since it is divisible by the number (30) 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 31672695075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73950354350964).

31672695075840 is an abundant number, since it is smaller than the sum of its proper divisors (116228013626088).

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

31672695075840 is a wasteful number, since it uses less digits than its factorization.

31672695075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 31672695075840 in words is "thirty-one trillion, six hundred seventy-two billion, six hundred ninety-five million, seventy-five thousand, eight hundred forty".