10730076840 has 576 divisors, whose sum is σ = 43215120000. Its totient is φ = 2297078784.

The previous prime is 10730076827. The next prime is 10730076857. The reversal of 10730076840 is 4867003701.

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

It is a junction number, because it is equal to n+sod(n) for n = 10730076795 and 10730076804.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21502911 + ... + 21503409.

It is an arithmetic number, because the mean of its divisors is an integer number (75026250).

Almost surely, 2^10730076840 is an apocalyptic number.

10730076840 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 10730076840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607560000).

10730076840 is an abundant number, since it is smaller than the sum of its proper divisors (32485043160).

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

10730076840 is a wasteful number, since it uses less digits than its factorization.

10730076840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10730076840 in words is "ten billion, seven hundred thirty million, seventy-six thousand, eight hundred forty".