127347973632 has 480 divisors, whose sum is σ = 436259577600. Its totient is φ = 36550103040.

The previous prime is 127347973631. The next prime is 127347973633. The reversal of 127347973632 is 236379743721.

127347973632 is a `hidden beast` number, since 1 + 2 + 73 + 479 + 73 + 6 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (127347973631) and next prime (127347973633).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127347973631) 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, 31779373 + ... + 31783379.

It is an arithmetic number, because the mean of its divisors is an integer number (908874120).

Almost surely, 2^127347973632 is an apocalyptic number.

127347973632 is a gapful number since it is divisible by the number (12) 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 127347973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218129788800).

127347973632 is an abundant number, since it is smaller than the sum of its proper divisors (308911603968).

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

127347973632 is a wasteful number, since it uses less digits than its factorization.

127347973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4042 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The spelling of 127347973632 in words is "one hundred twenty-seven billion, three hundred forty-seven million, nine hundred seventy-three thousand, six hundred thirty-two".