4152487680 has 540 divisors, whose sum is σ = 16381257816. Its totient is φ = 1003622400.

The previous prime is 4152487657. The next prime is 4152487697. The reversal of 4152487680 is 867842514.

4152487680 is a `hidden beast` number, since 41 + 52 + 487 + 6 + 80 = 666.

4152487680 is digitally balanced in base 2, 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 (540).

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 59 ways as a sum of consecutive naturals, for example, 12545115 + ... + 12545445.

Almost surely, 2^4152487680 is an apocalyptic number.

4152487680 is a gapful number since it is divisible by the number (40) 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 4152487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190628908).

4152487680 is an abundant number, since it is smaller than the sum of its proper divisors (12228770136).

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

4152487680 is a wasteful number, since it uses less digits than its factorization.

4152487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4152487680 is about 64439.7988823677. The cubic root of 4152487680 is about 1607.3216118125.

The spelling of 4152487680 in words is "four billion, one hundred fifty-two million, four hundred eighty-seven thousand, six hundred eighty".