10647362880 has 1008 divisors, whose sum is σ = 49056096960. Its totient is φ = 2095994880.

The previous prime is 10647362807. The next prime is 10647362893. The reversal of 10647362880 is 8826374601.

10647362880 is a `hidden beast` number, since 10 + 6 + 4 + 7 + 3 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10647362880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 560387511 + ... + 560387529.

Almost surely, 2^10647362880 is an apocalyptic number.

10647362880 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 10647362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528048480).

10647362880 is an abundant number, since it is smaller than the sum of its proper divisors (38408734080).

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

10647362880 is a wasteful number, since it uses less digits than its factorization.

10647362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10647362880 in words is "ten billion, six hundred forty-seven million, three hundred sixty-two thousand, eight hundred eighty".