626468243040 has 480 divisors, whose sum is σ = 2370662743680. Its totient is φ = 155236663296.

The previous prime is 626468242979. The next prime is 626468243059. The reversal of 626468243040 is 40342864626.

626468243040 is a `hidden beast` number, since 6 + 264 + 6 + 82 + 4 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17387284 + ... + 17423276.

It is an arithmetic number, because the mean of its divisors is an integer number (4938880716).

Almost surely, 2^626468243040 is an apocalyptic number.

626468243040 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 626468243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185331371840).

626468243040 is an abundant number, since it is smaller than the sum of its proper divisors (1744194500640).

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

626468243040 is a wasteful number, since it uses less digits than its factorization.

626468243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36116 (or 36099 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 626468243040 in words is "six hundred twenty-six billion, four hundred sixty-eight million, two hundred forty-three thousand, forty".