10730307456 has 384 divisors, whose sum is σ = 36355737600. Its totient is φ = 3002572800.

The previous prime is 10730307451. The next prime is 10730307463. The reversal of 10730307456 is 65470303701.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10730307456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10730307451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9870945 + ... + 9872031.

It is an arithmetic number, because the mean of its divisors is an integer number (94676400).

Almost surely, 2^10730307456 is an apocalyptic number.

10730307456 is a gapful number since it is divisible by the number (16) 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 10730307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177868800).

10730307456 is an abundant number, since it is smaller than the sum of its proper divisors (25625430144).

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

10730307456 is a wasteful number, since it uses less digits than its factorization.

10730307456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 10730307456 in words is "ten billion, seven hundred thirty million, three hundred seven thousand, four hundred fifty-six".