6507990720 has 336 divisors, whose sum is σ = 27909243648. Its totient is φ = 1352263680.

The previous prime is 6507990707. The next prime is 6507990739. The reversal of 6507990720 is 270997056.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×6507990720² = 84707886423212236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207087 + ... + 236433.

Almost surely, 2^6507990720 is an apocalyptic number.

6507990720 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 6507990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13954621824).

6507990720 is an abundant number, since it is smaller than the sum of its proper divisors (21401252928).

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

6507990720 is a wasteful number, since it uses less digits than its factorization.

6507990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29388 (or 29375 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 6507990720 is about 80672.1186036415. The cubic root of 6507990720 is about 1867.0200204087.

The spelling of 6507990720 in words is "six billion, five hundred seven million, nine hundred ninety thousand, seven hundred twenty".