61985940480 has 528 divisors, whose sum is σ = 229076003520. Its totient is φ = 15452798976.

The previous prime is 61985940479. The next prime is 61985940509. The reversal of 61985940480 is 8404958916.

61985940480 is a `hidden beast` number, since 6 + 1 + 9 + 8 + 594 + 0 + 48 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72667734 + ... + 72668586.

Almost surely, 2^61985940480 is an apocalyptic number.

61985940480 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 61985940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114538001760).

61985940480 is an abundant number, since it is smaller than the sum of its proper divisors (167090063040).

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

61985940480 is a wasteful number, since it uses less digits than its factorization.

61985940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 61985940480 in words is "sixty-one billion, nine hundred eighty-five million, nine hundred forty thousand, four hundred eighty".