127610456064 has 576 divisors, whose sum is σ = 427712987520. Its totient is φ = 33124515840.

The previous prime is 127610456063. The next prime is 127610456087. The reversal of 127610456064 is 460654016721.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (127610456063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705030054 + ... + 705030234.

It is an arithmetic number, because the mean of its divisors is an integer number (742557270).

Almost surely, 2^127610456064 is an apocalyptic number.

127610456064 is a gapful number since it is divisible by the number (14) 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 127610456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213856493760).

127610456064 is an abundant number, since it is smaller than the sum of its proper divisors (300102531456).

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

127610456064 is a wasteful number, since it uses less digits than its factorization.

127610456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 127610456064 in words is "one hundred twenty-seven billion, six hundred ten million, four hundred fifty-six thousand, sixty-four".