6507916800 has 960 divisors, whose sum is σ = 28057632768. Its totient is φ = 1290240000.

The previous prime is 6507916781. The next prime is 6507916817. The reversal of 6507916800 is 86197056.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91660765 + ... + 91660835.

Almost surely, 2^6507916800 is an apocalyptic number.

6507916800 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 6507916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14028816384).

6507916800 is an abundant number, since it is smaller than the sum of its proper divisors (21549715968).

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

6507916800 is a wasteful number, since it uses less digits than its factorization.

6507916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 6507916800 is about 80671.6604514869. The cubic root of 6507916800 is about 1867.0129516298.

The spelling of 6507916800 in words is "six billion, five hundred seven million, nine hundred sixteen thousand, eight hundred".