7660343940480 has 1024 divisors, whose sum is σ = 33853842432000. Its totient is φ = 1590398115840.

The previous prime is 7660343940467. The next prime is 7660343940563. The reversal of 7660343940480 is 840493430667.

7660343940480 is a `hidden beast` number, since 7 + 6 + 60 + 34 + 39 + 40 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2537376411 + ... + 2537379429.

It is an arithmetic number, because the mean of its divisors is an integer number (33060393000).

Almost surely, 2^{7660343940480} is an apocalyptic number.

7660343940480 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 7660343940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926921216000).

7660343940480 is an abundant number, since it is smaller than the sum of its proper divisors (26193498491520).

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

7660343940480 is a wasteful number, since it uses less digits than its factorization.

7660343940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 7660343940480 in words is "seven trillion, six hundred sixty billion, three hundred forty-three million, nine hundred forty thousand, four hundred eighty".