6274374960 has 240 divisors, whose sum is σ = 23615559936. Its totient is φ = 1349677056.

The previous prime is 6274374913. The next prime is 6274374961. The reversal of 6274374960 is 694734726.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6274374960² = 78735562277350003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6274374961) 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, 479059 + ... + 491981.

Almost surely, 2^6274374960 is an apocalyptic number.

6274374960 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 6274374960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11807779968).

6274374960 is an abundant number, since it is smaller than the sum of its proper divisors (17341184976).

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

6274374960 is a wasteful number, since it uses less digits than its factorization.

6274374960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12980 (or 12957 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The square root of 6274374960 is about 79210.9522730285. The cubic root of 6274374960 is about 1844.4072595956.

The spelling of 6274374960 in words is "six billion, two hundred seventy-four million, three hundred seventy-four thousand, nine hundred sixty".