10247964000 has 192 divisors, whose sum is σ = 34481184192. Its totient is φ = 2658816000.

The previous prime is 10247963993. The next prime is 10247964043. The reversal of 10247964000 is 46974201.

It is a happy number.

It is a super-2 number, since 2×10247964000² (a number of 21 digits) contains 22 as substring.

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, 432460 + ... + 455540.

It is an arithmetic number, because the mean of its divisors is an integer number (179589501).

Almost surely, 2^10247964000 is an apocalyptic number.

10247964000 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 10247964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240592096).

10247964000 is an abundant number, since it is smaller than the sum of its proper divisors (24233220192).

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

10247964000 is a wasteful number, since it uses less digits than its factorization.

10247964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23146 (or 23128 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10247964000 in words is "ten billion, two hundred forty-seven million, nine hundred sixty-four thousand".