5264416640 has 256 divisors, whose sum is σ = 15804288000. Its totient is φ = 1634992128.

The previous prime is 5264416627. The next prime is 5264416669. The reversal of 5264416640 is 466144625.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 5264416594 and 5264416603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1956416 + ... + 1959104.

It is an arithmetic number, because the mean of its divisors is an integer number (61735500).

Almost surely, 2^5264416640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5264416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902144000).

5264416640 is an abundant number, since it is smaller than the sum of its proper divisors (10539871360).

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

5264416640 is a wasteful number, since it uses less digits than its factorization.

5264416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 5264416640 is about 72556.2997954003. The cubic root of 5264416640 is about 1739.6027454406.

The spelling of 5264416640 in words is "five billion, two hundred sixty-four million, four hundred sixteen thousand, six hundred forty".