6408072000 has 1120 divisors, whose sum is σ = 27616343040. Its totient is φ = 1451520000.

The previous prime is 6408071983. The next prime is 6408072017. The reversal of 6408072000 is 2708046.

It is an interprime number because it is at equal distance from previous prime (6408071983) and next prime (6408072017).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 206711985 + ... + 206712015.

Almost surely, 2^6408072000 is an apocalyptic number.

6408072000 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 6408072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808171520).

6408072000 is an abundant number, since it is smaller than the sum of its proper divisors (21208271040).

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

6408072000 is a wasteful number, since it uses less digits than its factorization.

6408072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6408072000 is about 80050.4341025082. The cubic root of 6408072000 is about 1857.4157660364.

The spelling of 6408072000 in words is "six billion, four hundred eight million, seventy-two thousand".