7661470320 has 320 divisors, whose sum is σ = 31747968000. Its totient is φ = 1658962944.

The previous prime is 7661470319. The next prime is 7661470331. The reversal of 7661470320 is 230741667.

7661470320 is a `hidden beast` number, since 7 + 6 + 614 + 7 + 0 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273946 + ... + 300614.

It is an arithmetic number, because the mean of its divisors is an integer number (99212400).

Almost surely, 2^7661470320 is an apocalyptic number.

7661470320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7661470320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873984000).

7661470320 is an abundant number, since it is smaller than the sum of its proper divisors (24086497680).

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

7661470320 is a wasteful number, since it uses less digits than its factorization.

7661470320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26717 (or 26705 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7661470320 is about 87529.8253168599. The cubic root of 7661470320 is about 1971.3816413349.

The spelling of 7661470320 in words is "seven billion, six hundred sixty-one million, four hundred seventy thousand, three hundred twenty".