61807142880 has 768 divisors, whose sum is σ = 263160576000. Its totient is φ = 13233881088.

The previous prime is 61807142867. The next prime is 61807142927. The reversal of 61807142880 is 8824170816.

61807142880 is a `hidden beast` number, since 6 + 1 + 80 + 71 + 428 + 80 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55731766 + ... + 55732874.

It is an arithmetic number, because the mean of its divisors is an integer number (342657000).

Almost surely, 2^61807142880 is an apocalyptic number.

61807142880 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 61807142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131580288000).

61807142880 is an abundant number, since it is smaller than the sum of its proper divisors (201353433120).

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

61807142880 is a wasteful number, since it uses less digits than its factorization.

61807142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 61807142880 in words is "sixty-one billion, eight hundred seven million, one hundred forty-two thousand, eight hundred eighty".