61799303966400 has 8064 divisors, whose sum is σ = 332820298137600. Its totient is φ = 10450944000000.

The previous prime is 61799303966399. The next prime is 61799303966417. The reversal of 61799303966400 is 466930399716.

61799303966400 is a `hidden beast` number, since 6 + 179 + 9 + 30 + 396 + 6 + 40 + 0 = 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 1151 ways as a sum of consecutive naturals, for example, 246212366275 + ... + 246212366525.

It is an arithmetic number, because the mean of its divisors is an integer number (41272358400).

Almost surely, 2^{61799303966400} is an apocalyptic number.

61799303966400 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 61799303966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166410149068800).

61799303966400 is an abundant number, since it is smaller than the sum of its proper divisors (271020994171200).

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

61799303966400 is a wasteful number, since it uses less digits than its factorization.

61799303966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 61799303966400 in words is "sixty-one trillion, seven hundred ninety-nine billion, three hundred three million, nine hundred sixty-six thousand, four hundred".