34680120118560 has 1536 divisors, whose sum is σ = 143583390720000. Its totient is φ = 7814003613696.

The previous prime is 34680120118517. The next prime is 34680120118573. The reversal of 34680120118560 is 6581102108643.

34680120118560 is a `hidden beast` number, since 3 + 4 + 6 + 80 + 1 + 2 + 0 + 1 + 1 + 8 + 560 = 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33572235804 + ... + 33572236836.

It is an arithmetic number, because the mean of its divisors is an integer number (93478770000).

Almost surely, 2^{34680120118560} is an apocalyptic number.

34680120118560 is a gapful number since it is divisible by the number (30) 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 34680120118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71791695360000).

34680120118560 is an abundant number, since it is smaller than the sum of its proper divisors (108903270601440).

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

34680120118560 is a wasteful number, since it uses less digits than its factorization.

34680120118560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 34680120118560 in words is "thirty-four trillion, six hundred eighty billion, one hundred twenty million, one hundred eighteen thousand, five hundred sixty".