10234062720 has 1024 divisors, whose sum is σ = 44925696000. Its totient is φ = 2149908480.

The previous prime is 10234062689. The next prime is 10234062731. The reversal of 10234062720 is 2726043201.

10234062720 is a `hidden beast` number, since 1 + 0 + 2 + 34 + 0 + 627 + 2 + 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140192604 + ... + 140192676.

It is an arithmetic number, because the mean of its divisors is an integer number (43872750).

Almost surely, 2^10234062720 is an apocalyptic number.

10234062720 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 10234062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462848000).

10234062720 is an abundant number, since it is smaller than the sum of its proper divisors (34691633280).

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

10234062720 is a wasteful number, since it uses less digits than its factorization.

10234062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10234062720 in words is "ten billion, two hundred thirty-four million, sixty-two thousand, seven hundred twenty".