6874314480 has 960 divisors, whose sum is σ = 29014142976. Its totient is φ = 1492992000.

The previous prime is 6874314431. The next prime is 6874314523. The reversal of 6874314480 is 844134786.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112693650 + ... + 112693710.

Almost surely, 2^6874314480 is an apocalyptic number.

6874314480 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 6874314480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507071488).

6874314480 is an abundant number, since it is smaller than the sum of its proper divisors (22139828496).

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

6874314480 is a wasteful number, since it uses less digits than its factorization.

6874314480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 6874314480 is about 82911.4858146928. The cubic root of 6874314480 is about 1901.4130282807.

The spelling of 6874314480 in words is "six billion, eight hundred seventy-four million, three hundred fourteen thousand, four hundred eighty".