7674639840 has 576 divisors, whose sum is σ = 31410602496. Its totient is φ = 1733363712.

The previous prime is 7674639829. The next prime is 7674639887. The reversal of 7674639840 is 489364767.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44361994 + ... + 44362166.

It is an arithmetic number, because the mean of its divisors is an integer number (54532296).

Almost surely, 2^7674639840 is an apocalyptic number.

7674639840 is a gapful number since it is divisible by the number (70) 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 7674639840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705301248).

7674639840 is an abundant number, since it is smaller than the sum of its proper divisors (23735962656).

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

7674639840 is a wasteful number, since it uses less digits than its factorization.

7674639840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

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

The square root of 7674639840 is about 87605.0217738686. The cubic root of 7674639840 is about 1972.5105494672.

The spelling of 7674639840 in words is "seven billion, six hundred seventy-four million, six hundred thirty-nine thousand, eight hundred forty".