1506728736 has 96 divisors (see below), whose sum is σ = 4424112000. Its totient is φ = 498873600.

The previous prime is 1506728711. The next prime is 1506728759. The reversal of 1506728736 is 6378276051.

1506728736 is a `hidden beast` number, since 1 + 506 + 72 + 8 + 73 + 6 = 666.

1506728736 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1506728691 and 1506728700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124690 + ... + 136238.

It is an arithmetic number, because the mean of its divisors is an integer number (46084500).

Almost surely, 2^1506728736 is an apocalyptic number.

1506728736 is a gapful number since it is divisible by the number (16) 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 1506728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212056000).

1506728736 is an abundant number, since it is smaller than the sum of its proper divisors (2917383264).

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

1506728736 is a wasteful number, since it uses less digits than its factorization.

1506728736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11719 (or 11705 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1506728736 is about 38816.6038699936. The cubic root of 1506728736 is about 1146.4233517150.

The spelling of 1506728736 in words is "one billion, five hundred six million, seven hundred twenty-eight thousand, seven hundred thirty-six".