7674267680 has 96 divisors (see below), whose sum is σ = 19262985840. Its totient is φ = 2883686400.

The previous prime is 7674267673. The next prime is 7674267737. The reversal of 7674267680 is 867624767.

It can be written as a sum of positive squares in 8 ways, for example, as 2198859664 + 5475408016 = 46892^2 + 73996^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149330 + ... + 194030.

Almost surely, 2^7674267680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7674267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631492920).

7674267680 is an abundant number, since it is smaller than the sum of its proper divisors (11588718160).

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

7674267680 is a wasteful number, since it uses less digits than its factorization.

7674267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44782 (or 44774 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 53.

The square root of 7674267680 is about 87602.8976689698. The cubic root of 7674267680 is about 1972.4786651744.

The spelling of 7674267680 in words is "seven billion, six hundred seventy-four million, two hundred sixty-seven thousand, six hundred eighty".