10007730600 has 288 divisors, whose sum is σ = 36591318720. Its totient is φ = 2255662080.

The previous prime is 10007730587. The next prime is 10007730637. The reversal of 10007730600 is 603770001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2143869 + ... + 2148531.

It is an arithmetic number, because the mean of its divisors is an integer number (127053190).

Almost surely, 2^10007730600 is an apocalyptic number.

10007730600 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 10007730600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295659360).

10007730600 is an abundant number, since it is smaller than the sum of its proper divisors (26583588120).

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

10007730600 is a wasteful number, since it uses less digits than its factorization.

10007730600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The spelling of 10007730600 in words is "ten billion, seven million, seven hundred thirty thousand, six hundred".