7674611040 has 288 divisors, whose sum is σ = 27830537280. Its totient is φ = 1922199552.

The previous prime is 7674611039. The next prime is 7674611047. The reversal of 7674611040 is 401164767.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7674610986 and 7674611004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7674611047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1542637 + ... + 1547603.

It is an arithmetic number, because the mean of its divisors is an integer number (96633810).

Almost surely, 2^7674611040 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 7674611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915268640).

7674611040 is an abundant number, since it is smaller than the sum of its proper divisors (20155926240).

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

7674611040 is a wasteful number, since it uses less digits than its factorization.

7674611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7674611040 is about 87604.8573995757. The cubic root of 7674611040 is about 1972.5080821039.

The spelling of 7674611040 in words is "seven billion, six hundred seventy-four million, six hundred eleven thousand, forty".