10602738720 has 1152 divisors, whose sum is σ = 47551795200. Its totient is φ = 2094833664.

The previous prime is 10602738719. The next prime is 10602738799. The reversal of 10602738720 is 2783720601.

10602738720 is a `hidden beast` number, since 10 + 602 + 7 + 38 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×10602738720² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127743799 + ... + 127743881.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^10602738720 is an apocalyptic number.

10602738720 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 10602738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

10602738720 is an abundant number, since it is smaller than the sum of its proper divisors (36949056480).

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

10602738720 is a wasteful number, since it uses less digits than its factorization.

10602738720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10602738720 in words is "ten billion, six hundred two million, seven hundred thirty-eight thousand, seven hundred twenty".