737348016672 has 72 divisors (see below), whose sum is σ = 2108953989324. Its totient is φ = 244361946624.

The previous prime is 737348016667. The next prime is 737348016679. The reversal of 737348016672 is 276610843737.

737348016672 is a `hidden beast` number, since 7 + 37 + 3 + 480 + 1 + 66 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 693815697936 + 43532318736 = 832956^2 + 208644^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (737348016679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7349703 + ... + 7449350.

Almost surely, 2^737348016672 is an apocalyptic number.

737348016672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

737348016672 is an abundant number, since it is smaller than the sum of its proper divisors (1371605972652).

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

737348016672 is a wasteful number, since it uses less digits than its factorization.

737348016672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14799242 (or 14799231 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 737348016672 in words is "seven hundred thirty-seven billion, three hundred forty-eight million, sixteen thousand, six hundred seventy-two".