61476226560 has 800 divisors, whose sum is σ = 258031109952. Its totient is φ = 13695713280.

The previous prime is 61476226481. The next prime is 61476226577. The reversal of 61476226560 is 6562267416.

61476226560 is a `hidden beast` number, since 6 + 1 + 4 + 7 + 62 + 26 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59511804 + ... + 59512836.

Almost surely, 2^61476226560 is an apocalyptic number.

61476226560 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 61476226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129015554976).

61476226560 is an abundant number, since it is smaller than the sum of its proper divisors (196554883392).

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

61476226560 is a wasteful number, since it uses less digits than its factorization.

61476226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 61476226560 in words is "sixty-one billion, four hundred seventy-six million, two hundred twenty-six thousand, five hundred sixty".