127668752640 has 1440 divisors, whose sum is σ = 548465702400. Its totient is φ = 27948810240.

The previous prime is 127668752639. The next prime is 127668752641. The reversal of 127668752640 is 46257866721.

It is a happy number.

127668752640 is a `hidden beast` number, since 1 + 2 + 76 + 6 + 8 + 7 + 526 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (127668752639) and next prime (127668752641).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127668752641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1171272906 + ... + 1171273014.

It is an arithmetic number, because the mean of its divisors is an integer number (380878960).

Almost surely, 2^127668752640 is an apocalyptic number.

127668752640 is a gapful number since it is divisible by the number (10) 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 127668752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274232851200).

127668752640 is an abundant number, since it is smaller than the sum of its proper divisors (420796949760).

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

127668752640 is a wasteful number, since it uses less digits than its factorization.

127668752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 127668752640 in words is "one hundred twenty-seven billion, six hundred sixty-eight million, seven hundred fifty-two thousand, six hundred forty".