655837378560 has 960 divisors, whose sum is σ = 2893532241600. Its totient is φ = 138358554624.

The previous prime is 655837378541. The next prime is 655837378561. The reversal of 655837378560 is 65873738556.

It is a happy number.

655837378560 is a `hidden beast` number, since 6 + 5 + 5 + 8 + 37 + 37 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655837378561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75474696 + ... + 75483384.

It is an arithmetic number, because the mean of its divisors is an integer number (3014096085).

Almost surely, 2^655837378560 is an apocalyptic number.

655837378560 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 655837378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446766120800).

655837378560 is an abundant number, since it is smaller than the sum of its proper divisors (2237694863040).

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

655837378560 is a wasteful number, since it uses less digits than its factorization.

655837378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 655837378560 in words is "six hundred fifty-five billion, eight hundred thirty-seven million, three hundred seventy-eight thousand, five hundred sixty".