737348009472 has 640 divisors, whose sum is σ = 2307542307840. Its totient is φ = 232243200000.

The previous prime is 737348009467. The next prime is 737348009473. The reversal of 737348009472 is 274900843737.

737348009472 is a `hidden beast` number, since 7 + 3 + 7 + 3 + 480 + 0 + 94 + 72 = 666.

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 (737348009473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2937641347 + ... + 2937641597.

It is an arithmetic number, because the mean of its divisors is an integer number (3605534856).

Almost surely, 2^737348009472 is an apocalyptic number.

737348009472 is a gapful number since it is divisible by the number (72) 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 737348009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153771153920).

737348009472 is an abundant number, since it is smaller than the sum of its proper divisors (1570194298368).

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

737348009472 is a wasteful number, since it uses less digits than its factorization.

737348009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 441 counting only the distinct ones).

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

The spelling of 737348009472 in words is "seven hundred thirty-seven billion, three hundred forty-eight million, nine thousand, four hundred seventy-two".