127904695464 has 256 divisors, whose sum is σ = 399976980480. Its totient is φ = 33184650240.

The previous prime is 127904695403. The next prime is 127904695469. The reversal of 127904695464 is 464596409721.

It is a super-2 number, since 2×127904695464² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (127904695469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132269109 + ... + 132270075.

It is an arithmetic number, because the mean of its divisors is an integer number (1562410080).

Almost surely, 2^127904695464 is an apocalyptic number.

127904695464 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 127904695464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199988490240).

127904695464 is an abundant number, since it is smaller than the sum of its proper divisors (272072285016).

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

127904695464 is a wasteful number, since it uses less digits than its factorization.

127904695464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 127904695464 in words is "one hundred twenty-seven billion, nine hundred four million, six hundred ninety-five thousand, four hundred sixty-four".