10762321920 has 608 divisors, whose sum is σ = 43486460928. Its totient is φ = 2214592512.

The previous prime is 10762321919. The next prime is 10762321949. The reversal of 10762321920 is 2912326701.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467927029 + ... + 467927051.

Almost surely, 2^10762321920 is an apocalyptic number.

10762321920 is a gapful number since it is divisible by the number (10) 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 10762321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743230464).

10762321920 is an abundant number, since it is smaller than the sum of its proper divisors (32724139008).

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

10762321920 is an frugal number, since it uses more digits than its factorization.

10762321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 10762321920 in words is "ten billion, seven hundred sixty-two million, three hundred twenty-one thousand, nine hundred twenty".