646193150366400 has 4200 divisors, whose sum is σ = 3080961860237184. Its totient is φ = 131915995545600.

The previous prime is 646193150366371. The next prime is 646193150366417. The reversal of 646193150366400 is 4663051391646.

It is a happy number.

646193150366400 is a `hidden beast` number, since 6 + 4 + 6 + 1 + 9 + 31 + 503 + 66 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 125401346224 + ... + 125401351376.

Almost surely, 2^{646193150366400} is an apocalyptic number.

646193150366400 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 646193150366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540480930118592).

646193150366400 is an abundant number, since it is smaller than the sum of its proper divisors (2434768709870784).

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

646193150366400 is a wasteful number, since it uses less digits than its factorization.

646193150366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 646193150366400 in words is "six hundred forty-six trillion, one hundred ninety-three billion, one hundred fifty million, three hundred sixty-six thousand, four hundred".