1504039680 has 648 divisors, whose sum is σ = 6234110064. Its totient is φ = 332513280.

The previous prime is 1504039637. The next prime is 1504039687. The reversal of 1504039680 is 869304051.

1504039680 is a `hidden beast` number, since 150 + 40 + 396 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1504039687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18120919 + ... + 18121001.

Almost surely, 2^1504039680 is an apocalyptic number.

1504039680 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 1504039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117055032).

1504039680 is an abundant number, since it is smaller than the sum of its proper divisors (4730070384).

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

1504039680 is a wasteful number, since it uses less digits than its factorization.

1504039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1504039680 is about 38781.9504408945. The cubic root of 1504039680 is about 1145.7409390389.

The spelling of 1504039680 in words is "one billion, five hundred four million, thirty-nine thousand, six hundred eighty".