6261104640 has 448 divisors, whose sum is σ = 23780252160. Its totient is φ = 1376256000.

The previous prime is 6261104639. The next prime is 6261104653. The reversal of 6261104640 is 464011626.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6261104598 and 6261104607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24944515 + ... + 24944765.

It is an arithmetic number, because the mean of its divisors is an integer number (53080920).

Almost surely, 2^6261104640 is an apocalyptic number.

6261104640 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 6261104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890126080).

6261104640 is an abundant number, since it is smaller than the sum of its proper divisors (17519147520).

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

6261104640 is a wasteful number, since it uses less digits than its factorization.

6261104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6261104640 is about 79127.1422458817. The cubic root of 6261104640 is about 1843.1060330183.

The spelling of 6261104640 in words is "six billion, two hundred sixty-one million, one hundred four thousand, six hundred forty".