10647623520 has 144 divisors (see below), whose sum is σ = 36526194432. Its totient is φ = 2824427520.

The previous prime is 10647623489. The next prime is 10647623629. The reversal of 10647623520 is 2532674601.

10647623520 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 7 + 623 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10647623520² (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 23 ways as a sum of consecutive naturals, for example, 255684 + ... + 294396.

It is an arithmetic number, because the mean of its divisors is an integer number (253654128).

Almost surely, 2^10647623520 is an apocalyptic number.

10647623520 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 10647623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18263097216).

10647623520 is an abundant number, since it is smaller than the sum of its proper divisors (25878570912).

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

10647623520 is a wasteful number, since it uses less digits than its factorization.

10647623520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38925 (or 38914 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10647623520 in words is "ten billion, six hundred forty-seven million, six hundred twenty-three thousand, five hundred twenty".