10437827232 has 384 divisors, whose sum is σ = 34248130560. Its totient is φ = 2717245440.

The previous prime is 10437827189. The next prime is 10437827249. The reversal of 10437827232 is 23272873401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66482898 + ... + 66483054.

It is an arithmetic number, because the mean of its divisors is an integer number (89187840).

Almost surely, 2^10437827232 is an apocalyptic number.

10437827232 is a gapful number since it is divisible by the number (12) 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 10437827232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124065280).

10437827232 is an abundant number, since it is smaller than the sum of its proper divisors (23810303328).

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

10437827232 is a wasteful number, since it uses less digits than its factorization.

10437827232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 10437827232 in words is "ten billion, four hundred thirty-seven million, eight hundred twenty-seven thousand, two hundred thirty-two".