61789972608 has 640 divisors, whose sum is σ = 229462464000. Its totient is φ = 16070565888.

The previous prime is 61789972591. The next prime is 61789972649. The reversal of 61789972608 is 80627998716.

61789972608 is a `hidden beast` number, since 6 + 17 + 8 + 9 + 9 + 7 + 2 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74535138 + ... + 74535966.

It is an arithmetic number, because the mean of its divisors is an integer number (358535100).

Almost surely, 2^61789972608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61789972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114731232000).

61789972608 is an abundant number, since it is smaller than the sum of its proper divisors (167672491392).

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

61789972608 is a wasteful number, since it uses less digits than its factorization.

61789972608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 61789972608 in words is "sixty-one billion, seven hundred eighty-nine million, nine hundred seventy-two thousand, six hundred eight".