4127632992 has 504 divisors, whose sum is σ = 14883459696. Its totient is φ = 1120863744.

The previous prime is 4127632987. The next prime is 4127633033. The reversal of 4127632992 is 2992367214.

4127632992 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 632 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (326592) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 26290578 + ... + 26290734.

It is an arithmetic number, because the mean of its divisors is an integer number (29530674).

Almost surely, 2^4127632992 is an apocalyptic number.

4127632992 is a gapful number since it is divisible by the number (42) 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 4127632992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441729848).

4127632992 is an abundant number, since it is smaller than the sum of its proper divisors (10755826704).

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

4127632992 is a wasteful number, since it uses less digits than its factorization.

4127632992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 4127632992 is about 64246.6574383446. The cubic root of 4127632992 is about 1604.1083211984.

The spelling of 4127632992 in words is "four billion, one hundred twenty-seven million, six hundred thirty-two thousand, nine hundred ninety-two".