6747146274960 has 2400 divisors, whose sum is σ = 31061434440960. Its totient is φ = 1318126804992.

The previous prime is 6747146274923. The next prime is 6747146274961. The reversal of 6747146274960 is 694726417476.

6747146274960 is a `hidden beast` number, since 6 + 7 + 4 + 71 + 462 + 7 + 49 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6747146274961) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 39000845434 + ... + 39000845606.

Almost surely, 2^{6747146274960} is an apocalyptic number.

6747146274960 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 6747146274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15530717220480).

6747146274960 is an abundant number, since it is smaller than the sum of its proper divisors (24314288166000).

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

6747146274960 is a wasteful number, since it uses less digits than its factorization.

6747146274960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 6747146274960 in words is "six trillion, seven hundred forty-seven billion, one hundred forty-six million, two hundred seventy-four thousand, nine hundred sixty".