61915067280 has 640 divisors, whose sum is σ = 244912896000. Its totient is φ = 14237153280.

The previous prime is 61915067273. The next prime is 61915067299. The reversal of 61915067280 is 8276051916.

61915067280 is a `hidden beast` number, since 61 + 9 + 1 + 506 + 7 + 2 + 80 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40652599 + ... + 40654121.

It is an arithmetic number, because the mean of its divisors is an integer number (382676400).

Almost surely, 2^61915067280 is an apocalyptic number.

61915067280 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 61915067280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122456448000).

61915067280 is an abundant number, since it is smaller than the sum of its proper divisors (182997828720).

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

61915067280 is a wasteful number, since it uses less digits than its factorization.

61915067280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 61915067280 in words is "sixty-one billion, nine hundred fifteen million, sixty-seven thousand, two hundred eighty".