655120115432640 has 2688 divisors, whose sum is σ = 2862914069643264. Its totient is φ = 135159349248000.

The previous prime is 655120115432567. The next prime is 655120115432683. The reversal of 655120115432640 is 46234511021556.

655120115432640 is a `hidden beast` number, since 6 + 5 + 5 + 1 + 201 + 1 + 5 + 432 + 6 + 4 + 0 = 666.

It is a super-4 number, since 4×655120115432640⁴ (a number of 60 digits) contains 4444 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 75465969100 + ... + 75465977780.

It is an arithmetic number, because the mean of its divisors is an integer number (1065072198528).

Almost surely, 2^{655120115432640} is an apocalyptic number.

655120115432640 is a gapful number since it is divisible by the number (60) 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 655120115432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431457034821632).

655120115432640 is an abundant number, since it is smaller than the sum of its proper divisors (2207793954210624).

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

655120115432640 is a wasteful number, since it uses less digits than its factorization.

655120115432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039 (or 9026 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 655120115432640 in words is "six hundred fifty-five trillion, one hundred twenty billion, one hundred fifteen million, four hundred thirty-two thousand, six hundred forty".