6272663040 has 960 divisors, whose sum is σ = 27576806400. Its totient is φ = 1284636672.

The previous prime is 6272663029. The next prime is 6272663051. The reversal of 6272663040 is 403662726.

It is a happy number.

6272663040 is a `hidden beast` number, since 627 + 26 + 6 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6272663029) and next prime (6272663051).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×6272663040² = 78692603226764083200, which contains 22 as substring.

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 = 6272662986 and 6272663004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70479316 + ... + 70479404.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 2^6272663040 is an apocalyptic number.

6272663040 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 6272663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788403200).

6272663040 is an abundant number, since it is smaller than the sum of its proper divisors (21304143360).

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

6272663040 is a wasteful number, since it uses less digits than its factorization.

6272663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6272663040 is about 79200.1454544119. The cubic root of 6272663040 is about 1844.2394997308.

The spelling of 6272663040 in words is "six billion, two hundred seventy-two million, six hundred sixty-three thousand, forty".