1631627080272 has 240 divisors, whose sum is σ = 5682706224000. Its totient is φ = 426414191616.

The previous prime is 1631627080261. The next prime is 1631627080283. The reversal of 1631627080272 is 2720807261361.

1631627080272 is a `hidden beast` number, since 1 + 6 + 31 + 6 + 270 + 80 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (1631627080261) and next prime (1631627080283).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 913447 + ... + 2024262.

It is an arithmetic number, because the mean of its divisors is an integer number (23677942600).

Almost surely, 2^{1631627080272} is an apocalyptic number.

1631627080272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1631627080272 is an abundant number, since it is smaller than the sum of its proper divisors (4051079143728).

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

1631627080272 is a wasteful number, since it uses less digits than its factorization.

1631627080272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937778 (or 2937769 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1631627080272 in words is "one trillion, six hundred thirty-one billion, six hundred twenty-seven million, eighty thousand, two hundred seventy-two".