61945678080 has 864 divisors, whose sum is σ = 260131802112. Its totient is φ = 13403750400.

The previous prime is 61945678079. The next prime is 61945678103. The reversal of 61945678080 is 8087654916.

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, 51067554 + ... + 51068766.

Almost surely, 2^61945678080 is an apocalyptic number.

61945678080 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 61945678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130065901056).

61945678080 is an abundant number, since it is smaller than the sum of its proper divisors (198186124032).

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

61945678080 is a wasteful number, since it uses less digits than its factorization.

61945678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 61945678080 in words is "sixty-one billion, nine hundred forty-five million, six hundred seventy-eight thousand, eighty".