642250752 has 384 divisors, whose sum is σ = 2179457280. Its totient is φ = 165150720.

The previous prime is 642250729. The next prime is 642250783. The reversal of 642250752 is 257052246.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14936043 + ... + 14936085.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^642250752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089728640).

642250752 is an abundant number, since it is smaller than the sum of its proper divisors (1537206528).

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

642250752 is a wasteful number, since it uses less digits than its factorization.

642250752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 642250752 is about 25342.6666315919. Note that the first 4 decimals coincide. The cubic root of 642250752 is about 862.7829228526.

The spelling of 642250752 in words is "six hundred forty-two million, two hundred fifty thousand, seven hundred fifty-two".