1504741680 has 240 divisors, whose sum is σ = 5469399936. Its totient is φ = 368547840.

The previous prime is 1504741669. The next prime is 1504741687. The reversal of 1504741680 is 861474051.

It is a happy number.

1504741680 is a `hidden beast` number, since 1 + 504 + 74 + 1 + 6 + 80 = 666.

It is a Cunningham number, because it is equal to 38791²-1.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1504741687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3491065 + ... + 3491495.

Almost surely, 2^1504741680 is an apocalyptic number.

1504741680 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 1504741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734699968).

1504741680 is an abundant number, since it is smaller than the sum of its proper divisors (3964658256).

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

1504741680 is a wasteful number, since it uses less digits than its factorization.

1504741680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1504741680 is about 38790.9999871104. Note that the first 4 decimals coincide. The cubic root of 1504741680 is about 1145.9191668359.

The spelling of 1504741680 in words is "one billion, five hundred four million, seven hundred forty-one thousand, six hundred eighty".