7660338480 has 200 divisors, whose sum is σ = 26656106400. Its totient is φ = 2038874112.

The previous prime is 7660338479. The next prime is 7660338503. The reversal of 7660338480 is 848330667.

7660338480 is a `hidden beast` number, since 7 + 6 + 603 + 38 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5436016 + ... + 5437424.

It is an arithmetic number, because the mean of its divisors is an integer number (133280532).

Almost surely, 2^7660338480 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 7660338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328053200).

7660338480 is an abundant number, since it is smaller than the sum of its proper divisors (18995767920).

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

7660338480 is a wasteful number, since it uses less digits than its factorization.

7660338480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7660338480 is about 87523.3596247310. The cubic root of 7660338480 is about 1971.2845582081.

The spelling of 7660338480 in words is "seven billion, six hundred sixty million, three hundred thirty-eight thousand, four hundred eighty".