61783464960 has 704 divisors, whose sum is σ = 256251648000. Its totient is φ = 14111096832.

The previous prime is 61783464959. The next prime is 61783465001. The reversal of 61783464960 is 6946438716.

61783464960 is a `hidden beast` number, since 6 + 17 + 83 + 464 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61783464897 and 61783464906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47415669 + ... + 47416971.

Almost surely, 2^61783464960 is an apocalyptic number.

61783464960 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 61783464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128125824000).

61783464960 is an abundant number, since it is smaller than the sum of its proper divisors (194468183040).

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

61783464960 is a wasteful number, since it uses less digits than its factorization.

61783464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 61783464960 in words is "sixty-one billion, seven hundred eighty-three million, four hundred sixty-four thousand, nine hundred sixty".