737116632 has 128 divisors (see below), whose sum is σ = 2348121600. Its totient is φ = 209879424.

The previous prime is 737116631. The next prime is 737116637. The reversal of 737116632 is 236611737.

737116632 is a `hidden beast` number, since 7 + 3 + 7 + 1 + 16 + 632 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (737116631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563323 + ... + 564629.

It is an arithmetic number, because the mean of its divisors is an integer number (18344700).

Almost surely, 2^737116632 is an apocalyptic number.

737116632 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 737116632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174060800).

737116632 is an abundant number, since it is smaller than the sum of its proper divisors (1611004968).

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

737116632 is a wasteful number, since it uses less digits than its factorization.

737116632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1692 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 737116632 is about 27149.8919334866. The cubic root of 737116632 is about 903.3278574609.

The spelling of 737116632 in words is "seven hundred thirty-seven million, one hundred sixteen thousand, six hundred thirty-two".