61406417112768 has 1344 divisors, whose sum is σ = 237345350860800. Its totient is φ = 14714929152000.

The previous prime is 61406417112727. The next prime is 61406417112773. The reversal of 61406417112768 is 86721171460416.

It is a happy number.

61406417112768 is a `hidden beast` number, since 6 + 1 + 40 + 6 + 417 + 1 + 127 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12402828693 + ... + 12402833643.

It is an arithmetic number, because the mean of its divisors is an integer number (176596243200).

Almost surely, 2^{61406417112768} is an apocalyptic number.

61406417112768 is a gapful number since it is divisible by the number (68) 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 61406417112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118672675430400).

61406417112768 is an abundant number, since it is smaller than the sum of its proper divisors (175938933748032).

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

61406417112768 is a wasteful number, since it uses less digits than its factorization.

61406417112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 61406417112768 in words is "sixty-one trillion, four hundred six billion, four hundred seventeen million, one hundred twelve thousand, seven hundred sixty-eight".