7961577480 has 240 divisors, whose sum is σ = 27661623660. Its totient is φ = 2053797120.

The previous prime is 7961577461. The next prime is 7961577487. The reversal of 7961577480 is 847751697.

7961577480 is a `hidden beast` number, since 7 + 9 + 6 + 157 + 7 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7871593284 + 89984196 = 88722^2 + 9486^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7961577487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3112362 + ... + 3114918.

Almost surely, 2^7961577480 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 7961577480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830811830).

7961577480 is an abundant number, since it is smaller than the sum of its proper divisors (19700046180).

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

7961577480 is a wasteful number, since it uses less digits than its factorization.

7961577480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 7961577480 is about 89227.6721650856. The cubic root of 7961577480 is about 1996.7929836049.

The spelling of 7961577480 in words is "seven billion, nine hundred sixty-one million, five hundred seventy-seven thousand, four hundred eighty".