127347856352640 has 4608 divisors, whose sum is σ = 608117717975040. Its totient is φ = 24691519733760.

The previous prime is 127347856352609. The next prime is 127347856352677. The reversal of 127347856352640 is 46253658743721.

127347856352640 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 4 + 7 + 8 + 5 + 63 + 526 + 40 = 666.

It is a super-2 number, since 2×127347856352640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1236386954829 + ... + 1236386954931.

It is an arithmetic number, because the mean of its divisors is an integer number (131969990880).

Almost surely, 2^{127347856352640} is an apocalyptic number.

127347856352640 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 127347856352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304058858987520).

127347856352640 is an abundant number, since it is smaller than the sum of its proper divisors (480769861622400).

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

127347856352640 is a wasteful number, since it uses less digits than its factorization.

127347856352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 127347856352640 in words is "one hundred twenty-seven trillion, three hundred forty-seven billion, eight hundred fifty-six million, three hundred fifty-two thousand, six hundred forty".