10733497632 has 864 divisors, whose sum is σ = 40259419200. Its totient is φ = 2682408960.

The previous prime is 10733497591. The next prime is 10733497637. The reversal of 10733497632 is 23679433701.

It is a happy number.

10733497632 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 3 + 4 + 9 + 7 + 632 = 666.

It is a super-2 number, since 2×10733497632² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10733497637) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 249616203 + ... + 249616245.

It is an arithmetic number, because the mean of its divisors is an integer number (46596550).

Almost surely, 2^10733497632 is an apocalyptic number.

10733497632 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 10733497632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20129709600).

10733497632 is an abundant number, since it is smaller than the sum of its proper divisors (29525921568).

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

10733497632 is a wasteful number, since it uses less digits than its factorization.

10733497632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 10733497632 in words is "ten billion, seven hundred thirty-three million, four hundred ninety-seven thousand, six hundred thirty-two".