6542250624 has 384 divisors, whose sum is σ = 24540122880. Its totient is φ = 1623490560.

The previous prime is 6542250593. The next prime is 6542250643. The reversal of 6542250624 is 4260522456.

6542250624 is a `hidden beast` number, since 6 + 5 + 4 + 2 + 25 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780309 + ... + 1783979.

It is an arithmetic number, because the mean of its divisors is an integer number (63906570).

Almost surely, 2^6542250624 is an apocalyptic number.

6542250624 is a gapful number since it is divisible by the number (64) 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 6542250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12270061440).

6542250624 is an abundant number, since it is smaller than the sum of its proper divisors (17997872256).

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

6542250624 is a wasteful number, since it uses less digits than its factorization.

6542250624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6542250624 is about 80884.1803074000. The cubic root of 6542250624 is about 1870.2904620921.

The spelling of 6542250624 in words is "six billion, five hundred forty-two million, two hundred fifty thousand, six hundred twenty-four".