61242877080 has 1152 divisors, whose sum is σ = 272142374400. Its totient is φ = 11667110400.

The previous prime is 61242877067. The next prime is 61242877081. The reversal of 61242877080 is 8077824216.

61242877080 is a `hidden beast` number, since 612 + 4 + 28 + 7 + 7 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61242877081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1975576665 + ... + 1975576695.

It is an arithmetic number, because the mean of its divisors is an integer number (236234700).

Almost surely, 2^61242877080 is an apocalyptic number.

61242877080 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 61242877080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136071187200).

61242877080 is an abundant number, since it is smaller than the sum of its proper divisors (210899497320).

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

61242877080 is a wasteful number, since it uses less digits than its factorization.

61242877080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

It can be divided in two parts, 6124 and 2877080, that added together give a square (2883204 = 1698²).

The spelling of 61242877080 in words is "sixty-one billion, two hundred forty-two million, eight hundred seventy-seven thousand, eighty".