61950458880 has 1056 divisors, whose sum is σ = 246243291840. Its totient is φ = 14863564800.

The previous prime is 61950458861. The next prime is 61950458929. The reversal of 61950458880 is 8885405916.

It is a happy number.

61950458880 is a `hidden beast` number, since 6 + 1 + 9 + 50 + 4 + 588 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613370830 + ... + 613370930.

Almost surely, 2^61950458880 is an apocalyptic number.

61950458880 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 61950458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123121645920).

61950458880 is an abundant number, since it is smaller than the sum of its proper divisors (184292832960).

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

61950458880 is a wasteful number, since it uses less digits than its factorization.

61950458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 61950458880 in words is "sixty-one billion, nine hundred fifty million, four hundred fifty-eight thousand, eight hundred eighty".