61716476450400 has 72 divisors (see below), whose sum is σ = 200887130853864. Its totient is φ = 16457727052800.

The previous prime is 61716476450371. The next prime is 61716476450539. The reversal of 61716476450400 is 405467461716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12857596861 + ... + 12857601660.

It is an arithmetic number, because the mean of its divisors is an integer number (2790099039637).

Almost surely, 2^{61716476450400} is an apocalyptic number.

61716476450400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61716476450400 is an abundant number, since it is smaller than the sum of its proper divisors (139170654403464).

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

61716476450400 is a wasteful number, since it uses less digits than its factorization.

61716476450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25715198544 (or 25715198531 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 61716476450400 in words is "sixty-one trillion, seven hundred sixteen billion, four hundred seventy-six million, four hundred fifty thousand, four hundred".