737275968 has 168 divisors, whose sum is σ = 2482998336. Its totient is φ = 206208000.

The previous prime is 737275963. The next prime is 737275997. The reversal of 737275968 is 869572737.

It is not an unprimeable number, because it can be changed into a prime (737275963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77893 + ... + 86843.

It is an arithmetic number, because the mean of its divisors is an integer number (14779752).

Almost surely, 2^737275968 is an apocalyptic number.

737275968 is a gapful number since it is divisible by the number (78) 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 737275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241499168).

737275968 is an abundant number, since it is smaller than the sum of its proper divisors (1745722368).

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

737275968 is a wasteful number, since it uses less digits than its factorization.

737275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8980 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 737275968 is about 27152.8261512499. The cubic root of 737275968 is about 903.3929409097.

The spelling of 737275968 in words is "seven hundred thirty-seven million, two hundred seventy-five thousand, nine hundred sixty-eight".