642470400 has 720 divisors, whose sum is σ = 2785669920. Its totient is φ = 143769600.

The previous prime is 642470383. The next prime is 642470419. The reversal of 642470400 is 4074246.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49420794 + ... + 49420806.

It is an arithmetic number, because the mean of its divisors is an integer number (3868986).

Almost surely, 2^642470400 is an apocalyptic number.

642470400 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 642470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392834960).

642470400 is an abundant number, since it is smaller than the sum of its proper divisors (2143199520).

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

642470400 is a wasteful number, since it uses less digits than its factorization.

642470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 642470400 is about 25346.9998224642. Note that the first 3 decimals coincide. The cubic root of 642470400 is about 862.8812681086.

The spelling of 642470400 in words is "six hundred forty-two million, four hundred seventy thousand, four hundred".