10724076000 has 1152 divisors, whose sum is σ = 46363000320. Its totient is φ = 2405376000.

The previous prime is 10724075959. The next prime is 10724076001. The reversal of 10724076000 is 67042701.

10724076000 is a `hidden beast` number, since 10 + 7 + 2 + 40 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10724076001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181763971 + ... + 181764029.

It is an arithmetic number, because the mean of its divisors is an integer number (40245660).

Almost surely, 2^10724076000 is an apocalyptic number.

10724076000 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 10724076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181500160).

10724076000 is an abundant number, since it is smaller than the sum of its proper divisors (35638924320).

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

10724076000 is a wasteful number, since it uses less digits than its factorization.

10724076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10724076000 in words is "ten billion, seven hundred twenty-four million, seventy-six thousand".