7674925440 has 768 divisors, whose sum is σ = 31538073600. Its totient is φ = 1552711680.

The previous prime is 7674925439. The next prime is 7674925457. The reversal of 7674925440 is 445294767.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7674925440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70412106 + ... + 70412214.

It is an arithmetic number, because the mean of its divisors is an integer number (41065200).

Almost surely, 2^7674925440 is an apocalyptic number.

7674925440 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 7674925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769036800).

7674925440 is an abundant number, since it is smaller than the sum of its proper divisors (23863148160).

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

7674925440 is a wasteful number, since it uses less digits than its factorization.

7674925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 7674925440 is about 87606.6518022462. The cubic root of 7674925440 is about 1972.5350171528.

The spelling of 7674925440 in words is "seven billion, six hundred seventy-four million, nine hundred twenty-five thousand, four hundred forty".