7661182464 has 240 divisors, whose sum is σ = 25215542352. Its totient is φ = 2218328064.

The previous prime is 7661182439. The next prime is 7661182483. The reversal of 7661182464 is 4642811667.

7661182464 is a `hidden beast` number, since 7 + 6 + 6 + 1 + 182 + 464 = 666.

It is a super-2 number, since 2×7661182464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1014607 + ... + 1022129.

Almost surely, 2^7661182464 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 7661182464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607771176).

7661182464 is an abundant number, since it is smaller than the sum of its proper divisors (17554359888).

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

7661182464 is a wasteful number, since it uses less digits than its factorization.

7661182464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7577 (or 7558 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 7661182464 is about 87528.1809704737. The cubic root of 7661182464 is about 1971.3569515074.

The spelling of 7661182464 in words is "seven billion, six hundred sixty-one million, one hundred eighty-two thousand, four hundred sixty-four".