10302727680 has 480 divisors, whose sum is σ = 41181364224. Its totient is φ = 2331721728.

The previous prime is 10302727657. The next prime is 10302727691. The reversal of 10302727680 is 8672720301.

10302727680 is a `hidden beast` number, since 1 + 0 + 302 + 7 + 276 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10302727680² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20482309 + ... + 20482811.

Almost surely, 2^10302727680 is an apocalyptic number.

10302727680 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 10302727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590682112).

10302727680 is an abundant number, since it is smaller than the sum of its proper divisors (30878636544).

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

10302727680 is a wasteful number, since it uses less digits than its factorization.

10302727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 647 counting only the distinct ones).

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

The spelling of 10302727680 in words is "ten billion, three hundred two million, seven hundred twenty-seven thousand, six hundred eighty".