6287460433920 has 1920 divisors, whose sum is σ = 25512495010200. Its totient is φ = 1474465628160.

The previous prime is 6287460433847. The next prime is 6287460433973. The reversal of 6287460433920 is 293340647826.

6287460433920 is a `hidden beast` number, since 6 + 2 + 8 + 7 + 4 + 604 + 3 + 3 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5725032431616 + 562428002304 = 2392704^2 + 749952^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 202821304305 + ... + 202821304335.

Almost surely, 2^{6287460433920} is an apocalyptic number.

6287460433920 is a gapful number since it is divisible by the number (60) 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 6287460433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756247505100).

6287460433920 is an abundant number, since it is smaller than the sum of its proper divisors (19225034576280).

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

6287460433920 is an equidigital number, since it uses as much as digits as its factorization.

6287460433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 6287460433920 in words is "six trillion, two hundred eighty-seven billion, four hundred sixty million, four hundred thirty-three thousand, nine hundred twenty".