6261625440 has 576 divisors, whose sum is σ = 25479207936. Its totient is φ = 1370566656.

The previous prime is 6261625367. The next prime is 6261625483. The reversal of 6261625440 is 445261626.

6261625440 is a `hidden beast` number, since 6 + 26 + 1 + 625 + 4 + 4 + 0 = 666.

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 = 6261625395 and 6261625404.

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, 38414799 + ... + 38414961.

It is an arithmetic number, because the mean of its divisors is an integer number (44234736).

Almost surely, 2^6261625440 is an apocalyptic number.

6261625440 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 6261625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739603968).

6261625440 is an abundant number, since it is smaller than the sum of its proper divisors (19217582496).

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

6261625440 is a wasteful number, since it uses less digits than its factorization.

6261625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6261625440 is about 79130.4330836120. The cubic root of 6261625440 is about 1843.1571349171.

The spelling of 6261625440 in words is "six billion, two hundred sixty-one million, six hundred twenty-five thousand, four hundred forty".