6319974960 has 480 divisors, whose sum is σ = 24646422528. Its totient is φ = 1438525440.

The previous prime is 6319974953. The next prime is 6319975001. The reversal of 6319974960 is 694799136.

6319974960 is a `hidden beast` number, since 63 + 1 + 9 + 97 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6319974897 and 6319974906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6673207 + ... + 6674153.

Almost surely, 2^6319974960 is an apocalyptic number.

6319974960 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 6319974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323211264).

6319974960 is an abundant number, since it is smaller than the sum of its proper divisors (18326447568).

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

6319974960 is a wasteful number, since it uses less digits than its factorization.

6319974960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 6319974960 is about 79498.2701698597. The cubic root of 6319974960 is about 1848.8646513193.

The spelling of 6319974960 in words is "six billion, three hundred nineteen million, nine hundred seventy-four thousand, nine hundred sixty".