7674834240 has 336 divisors, whose sum is σ = 27559284480. Its totient is φ = 2032957440.

The previous prime is 7674834227. The next prime is 7674834241. The reversal of 7674834240 is 424384767.

It is a super-2 number, since 2×7674834240² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7674834241) 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, 17806825 + ... + 17807255.

It is an arithmetic number, because the mean of its divisors is an integer number (82021680).

Almost surely, 2^7674834240 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 7674834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13779642240).

7674834240 is an abundant number, since it is smaller than the sum of its proper divisors (19884450240).

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

7674834240 is a wasteful number, since it uses less digits than its factorization.

7674834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 7674834240 is about 87606.1312922789. The cubic root of 7674834240 is about 1972.5272040083.

The spelling of 7674834240 in words is "seven billion, six hundred seventy-four million, eight hundred thirty-four thousand, two hundred forty".