6258024848640 has 288 divisors, whose sum is σ = 20554717913856. Its totient is φ = 1621491056640.

The previous prime is 6258024848623. The next prime is 6258024848657. The reversal of 6258024848640 is 468484208526.

It is an interprime number because it is at equal distance from previous prime (6258024848623) and next prime (6258024848657).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105535800 + ... + 105595080.

It is an arithmetic number, because the mean of its divisors is an integer number (71370548312).

Almost surely, 2^{6258024848640} is an apocalyptic number.

6258024848640 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 6258024848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277358956928).

6258024848640 is an abundant number, since it is smaller than the sum of its proper divisors (14296693065216).

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

6258024848640 is a wasteful number, since it uses less digits than its factorization.

6258024848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60085 (or 60071 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 6258024848640 in words is "six trillion, two hundred fifty-eight billion, twenty-four million, eight hundred forty-eight thousand, six hundred forty".