6207252480 has 768 divisors, whose sum is σ = 26087443200. Its totient is φ = 1380188160.

The previous prime is 6207252451. The next prime is 6207252503. The reversal of 6207252480 is 842527026.

6207252480 is a `hidden beast` number, since 62 + 0 + 72 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39536562 + ... + 39536718.

It is an arithmetic number, because the mean of its divisors is an integer number (33968025).

Almost surely, 2^6207252480 is an apocalyptic number.

6207252480 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 6207252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13043721600).

6207252480 is an abundant number, since it is smaller than the sum of its proper divisors (19880190720).

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

6207252480 is a wasteful number, since it uses less digits than its factorization.

6207252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6207252480 is about 78786.1185742768. The cubic root of 6207252480 is about 1837.8065860779.

The spelling of 6207252480 in words is "six billion, two hundred seven million, two hundred fifty-two thousand, four hundred eighty".