61683793920 has 760 divisors, whose sum is σ = 255784947264. Its totient is φ = 13929283584.

The previous prime is 61683793883. The next prime is 61683793931. The reversal of 61683793920 is 2939738616.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743178199 + ... + 743178281.

Almost surely, 2^61683793920 is an apocalyptic number.

61683793920 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 61683793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127892473632).

61683793920 is an abundant number, since it is smaller than the sum of its proper divisors (194101153344).

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

61683793920 is an frugal number, since it uses more digits than its factorization.

61683793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 61683793920 in words is "sixty-one billion, six hundred eighty-three million, seven hundred ninety-three thousand, nine hundred twenty".