6210397440 has 576 divisors, whose sum is σ = 24806638080. Its totient is φ = 1459814400.

The previous prime is 6210397439. The next prime is 6210397441. The reversal of 6210397440 is 447930126.

It is an interprime number because it is at equal distance from previous prime (6210397439) and next prime (6210397441).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 6210397395 and 6210397404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6210397441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10333140 + ... + 10333740.

It is an arithmetic number, because the mean of its divisors is an integer number (43067080).

Almost surely, 2^6210397440 is an apocalyptic number.

6210397440 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 6210397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403319040).

6210397440 is an abundant number, since it is smaller than the sum of its proper divisors (18596240640).

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

6210397440 is a wasteful number, since it uses less digits than its factorization.

6210397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6210397440 is about 78806.0748927391. The cubic root of 6210397440 is about 1838.1169140563.

It can be divided in two parts, 6210 and 397440, that multiplied together give a square (2468102400 = 49680²).

The spelling of 6210397440 in words is "six billion, two hundred ten million, three hundred ninety-seven thousand, four hundred forty".