1506660000 has 120 divisors (see below), whose sum is σ = 4942342944. Its totient is φ = 401760000.

The previous prime is 1506659977. The next prime is 1506660007. The reversal of 1506660000 is 666051.

1506660000 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1506660007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47445 + ... + 72555.

Almost surely, 2^1506660000 is an apocalyptic number.

1506660000 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 1506660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471171472).

1506660000 is an abundant number, since it is smaller than the sum of its proper divisors (3435682944).

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

1506660000 is an equidigital number, since it uses as much as digits as its factorization.

1506660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25144 (or 25121 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1506660000 is about 38815.7184655907. The cubic root of 1506660000 is about 1146.4059184169.

The spelling of 1506660000 in words is "one billion, five hundred six million, six hundred sixty thousand".