10647430041600 has 1755 divisors, whose sum is σ = 43777074545589. Its totient is φ = 2556135014400.

The previous prime is 10647430041499. The next prime is 10647430041623. The reversal of 10647430041600 is 614003474601.

The square root of 10647430041600 is 3263040.

It is a perfect power (a square), and thus also a powerful number.

10647430041600 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 7 + 4 + 3 + 0 + 0 + 41 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3833074814976 + 6814355226624 = 1957824^2 + 2610432^2 .

It is a super-2 number, since 2×10647430041600² (a number of 27 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 134 ways as a sum of consecutive naturals, for example, 103373107149 + ... + 103373107251.

Almost surely, 2^{10647430041600} is an apocalyptic number.

10647430041600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10647430041600 is the 3263040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10647430041600

10647430041600 is an abundant number, since it is smaller than the sum of its proper divisors (33129644503989).

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

10647430041600 is an equidigital number, since it uses as much as digits as its factorization.

10647430041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 10647430041600 by its sum of digits (36), we get a square (383307481497600 = 19578240²).

10647430041600 divided by its sum of digits (36) gives a square (295761945600 = 543840²).

The spelling of 10647430041600 in words is "ten trillion, six hundred forty-seven billion, four hundred thirty million, forty-one thousand, six hundred".