1407631680 has 672 divisors, whose sum is σ = 6150912768. Its totient is φ = 287539200.

The previous prime is 1407631679. The next prime is 1407631727. The reversal of 1407631680 is 861367041.

1407631680 is a `hidden beast` number, since 14 + 0 + 7 + 631 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10745215 + ... + 10745345.

It is an arithmetic number, because the mean of its divisors is an integer number (9153144).

Almost surely, 2^1407631680 is an apocalyptic number.

1407631680 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 1407631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075456384).

1407631680 is an abundant number, since it is smaller than the sum of its proper divisors (4743281088).

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

1407631680 is a wasteful number, since it uses less digits than its factorization.

1407631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1407631680 is about 37518.4178770907. The cubic root of 1407631680 is about 1120.7179920036.

The spelling of 1407631680 in words is "one billion, four hundred seven million, six hundred thirty-one thousand, six hundred eighty".