643299452400 has 240 divisors, whose sum is σ = 2266623641088. Its totient is φ = 155950995200.

The previous prime is 643299452387. The next prime is 643299452441. The reversal of 643299452400 is 4254992346.

643299452400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 643299452400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1395817 + ... + 1798583.

Almost surely, 2^643299452400 is an apocalyptic number.

643299452400 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 643299452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133311820544).

643299452400 is an abundant number, since it is smaller than the sum of its proper divisors (1623324188688).

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

643299452400 is a wasteful number, since it uses less digits than its factorization.

643299452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402821 (or 402788 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 643299452400 in words is "six hundred forty-three billion, two hundred ninety-nine million, four hundred fifty-two thousand, four hundred".