11463728640 has 640 divisors, whose sum is σ = 46197043200. Its totient is φ = 2360475648.

The previous prime is 11463728621. The next prime is 11463728659. The reversal of 11463728640 is 4682736411.

It is an interprime number because it is at equal distance from previous prime (11463728621) and next prime (11463728659).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 11463728592 and 11463728601.

It is a congruent number.

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, 32847186 + ... + 32847534.

It is an arithmetic number, because the mean of its divisors is an integer number (72182880).

Almost surely, 2^11463728640 is an apocalyptic number.

11463728640 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 11463728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098521600).

11463728640 is an abundant number, since it is smaller than the sum of its proper divisors (34733314560).

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

11463728640 is a wasteful number, since it uses less digits than its factorization.

11463728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 11463728640 in words is "eleven billion, four hundred sixty-three million, seven hundred twenty-eight thousand, six hundred forty".