646790243400 has 384 divisors, whose sum is σ = 2628231782400. Its totient is φ = 143068550400.

The previous prime is 646790243387. The next prime is 646790243461. The reversal of 646790243400 is 4342097646.

It is a happy number.

646790243400 is a `hidden beast` number, since 64 + 67 + 90 + 2 + 43 + 400 = 666.

646790243400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 895819 + ... + 1447781.

It is an arithmetic number, because the mean of its divisors is an integer number (6844353600).

Almost surely, 2^646790243400 is an apocalyptic number.

646790243400 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 646790243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314115891200).

646790243400 is an abundant number, since it is smaller than the sum of its proper divisors (1981441539000).

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

646790243400 is a wasteful number, since it uses less digits than its factorization.

646790243400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552026 (or 552011 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 646790243400 in words is "six hundred forty-six billion, seven hundred ninety million, two hundred forty-three thousand, four hundred".