31378270680 has 192 divisors, whose sum is σ = 106997080320. Its totient is φ = 7964697600.

The previous prime is 31378270631. The next prime is 31378270681. The reversal of 31378270680 is 8607287313.

31378270680 is a `hidden beast` number, since 3 + 1 + 378 + 270 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31378270681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657714 + ... + 703806.

It is an arithmetic number, because the mean of its divisors is an integer number (557276460).

Almost surely, 2^31378270680 is an apocalyptic number.

31378270680 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 31378270680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53498540160).

31378270680 is an abundant number, since it is smaller than the sum of its proper divisors (75618809640).

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

31378270680 is a wasteful number, since it uses less digits than its factorization.

31378270680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46202 (or 46195 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 31378270680 in words is "thirty-one billion, three hundred seventy-eight million, two hundred seventy thousand, six hundred eighty".