10671264000 has 720 divisors, whose sum is σ = 41669147520. Its totient is φ = 2706739200.

The previous prime is 10671263963. The next prime is 10671264001. The reversal of 10671264000 is 46217601.

10671264000 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 12 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10671264000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10671264001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59615911 + ... + 59616089.

It is an arithmetic number, because the mean of its divisors is an integer number (57873816).

Almost surely, 2^10671264000 is an apocalyptic number.

10671264000 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 10671264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20834573760).

10671264000 is an abundant number, since it is smaller than the sum of its proper divisors (30997883520).

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

10671264000 is an equidigital number, since it uses as much as digits as its factorization.

10671264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10671264000 in words is "ten billion, six hundred seventy-one million, two hundred sixty-four thousand".