31370503680 has 480 divisors, whose sum is σ = 111777988608. Its totient is φ = 8128512000.

The previous prime is 31370503663. The next prime is 31370503763. The reversal of 31370503680 is 8630507313.

31370503680 is a `hidden beast` number, since 3 + 1 + 3 + 70 + 503 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×31370503680² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207751605 + ... + 207751755.

Almost surely, 2^31370503680 is an apocalyptic number.

31370503680 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 31370503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55888994304).

31370503680 is an abundant number, since it is smaller than the sum of its proper divisors (80407484928).

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

31370503680 is a wasteful number, since it uses less digits than its factorization.

31370503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 31370503680 in words is "thirty-one billion, three hundred seventy million, five hundred three thousand, six hundred eighty".