674847313920 has 1664 divisors, whose sum is σ = 2798412556800. Its totient is φ = 154793410560.

The previous prime is 674847313913. The next prime is 674847313979. The reversal of 674847313920 is 29313748476.

674847313920 is a `hidden beast` number, since 6 + 7 + 484 + 7 + 3 + 139 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-3 number, since 3×674847313920³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11063070690 + ... + 11063070750.

Almost surely, 2^674847313920 is an apocalyptic number.

674847313920 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 674847313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399206278400).

674847313920 is an abundant number, since it is smaller than the sum of its proper divisors (2123565242880).

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

674847313920 is an equidigital number, since it uses as much as digits as its factorization.

674847313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 674847313920 in words is "six hundred seventy-four billion, eight hundred forty-seven million, three hundred thirteen thousand, nine hundred twenty".