15480733680 has 120 divisors (see below), whose sum is σ = 52032071520. Its totient is φ = 4124812800.

The previous prime is 15480733679. The next prime is 15480733729. The reversal of 15480733680 is 8633708451.

15480733680 is a `hidden beast` number, since 1 + 548 + 0 + 73 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941530 + ... + 957830.

It is an arithmetic number, because the mean of its divisors is an integer number (433600596).

Almost surely, 2^15480733680 is an apocalyptic number.

15480733680 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 15480733680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016035760).

15480733680 is an abundant number, since it is smaller than the sum of its proper divisors (36551337840).

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

15480733680 is a wasteful number, since it uses less digits than its factorization.

15480733680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17639 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 15480733680 in words is "fifteen billion, four hundred eighty million, seven hundred thirty-three thousand, six hundred eighty".