6246747648 has 320 divisors, whose sum is σ = 20623680000. Its totient is φ = 1855291392.

The previous prime is 6246747641. The next prime is 6246747649. The reversal of 6246747648 is 8467476426.

6246747648 is a `hidden beast` number, since 624 + 6 + 7 + 4 + 7 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6246747594 and 6246747603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6246747641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4464453 + ... + 4465851.

It is an arithmetic number, because the mean of its divisors is an integer number (64449000).

Almost surely, 2^6246747648 is an apocalyptic number.

6246747648 is a gapful number since it is divisible by the number (68) 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 6246747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840000).

6246747648 is an abundant number, since it is smaller than the sum of its proper divisors (14376932352).

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

6246747648 is a wasteful number, since it uses less digits than its factorization.

6246747648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1440 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The square root of 6246747648 is about 79036.3691473742. The cubic root of 6246747648 is about 1841.6961800894.

The spelling of 6246747648 in words is "six billion, two hundred forty-six million, seven hundred forty-seven thousand, six hundred forty-eight".