626340003840 has 1152 divisors, whose sum is σ = 2476307635200. Its totient is φ = 151353556992.

The previous prime is 626340003811. The next prime is 626340003857. The reversal of 626340003840 is 48300043626.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 626340003795 and 626340003804.

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 63 ways as a sum of consecutive naturals, for example, 27232174069 + ... + 27232174091.

It is an arithmetic number, because the mean of its divisors is an integer number (2149572600).

Almost surely, 2^626340003840 is an apocalyptic number.

626340003840 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 626340003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238153817600).

626340003840 is an abundant number, since it is smaller than the sum of its proper divisors (1849967631360).

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

626340003840 is an frugal number, since it uses more digits than its factorization.

626340003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 626340003840 in words is "six hundred twenty-six billion, three hundred forty million, three thousand, eight hundred forty".