10164648480 has 384 divisors, whose sum is σ = 38399961600. Its totient is φ = 2210955264.

The previous prime is 10164648467. The next prime is 10164648491. The reversal of 10164648480 is 8484646101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7112406 + ... + 7113834.

It is an arithmetic number, because the mean of its divisors is an integer number (99999900).

Almost surely, 2^10164648480 is an apocalyptic number.

10164648480 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 10164648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19199980800).

10164648480 is an abundant number, since it is smaller than the sum of its proper divisors (28235313120).

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

10164648480 is a wasteful number, since it uses less digits than its factorization.

10164648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 10164648480 in words is "ten billion, one hundred sixty-four million, six hundred forty-eight thousand, four hundred eighty".