7661981824 has 192 divisors, whose sum is σ = 18519217920. Its totient is φ = 3144960000.

The previous prime is 7661981809. The next prime is 7661981851. The reversal of 7661981824 is 4281891667.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30525699 + ... + 30525949.

It is an arithmetic number, because the mean of its divisors is an integer number (96454260).

Almost surely, 2^7661981824 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 7661981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259608960).

7661981824 is an abundant number, since it is smaller than the sum of its proper divisors (10857236096).

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

7661981824 is a wasteful number, since it uses less digits than its factorization.

7661981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 52.

The square root of 7661981824 is about 87532.7471521373. The cubic root of 7661981824 is about 1971.4255122506.

The spelling of 7661981824 in words is "seven billion, six hundred sixty-one million, nine hundred eighty-one thousand, eight hundred twenty-four".