10464007680 has 720 divisors, whose sum is σ = 43490921760. Its totient is φ = 2364899328.

The previous prime is 10464007661. The next prime is 10464007691. The reversal of 10464007680 is 8670046401.

10464007680 is a `hidden beast` number, since 1 + 0 + 4 + 640 + 0 + 7 + 6 + 8 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 117573076 + ... + 117573164.

It is an arithmetic number, because the mean of its divisors is an integer number (60404058).

Almost surely, 2^10464007680 is an apocalyptic number.

10464007680 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 10464007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21745460880).

10464007680 is an abundant number, since it is smaller than the sum of its proper divisors (33026914080).

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

10464007680 is an frugal number, since it uses more digits than its factorization.

10464007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10464007680 in words is "ten billion, four hundred sixty-four million, seven thousand, six hundred eighty".