642263040 has 384 divisors, whose sum is σ = 2405894400. Its totient is φ = 162201600.

The previous prime is 642262997. The next prime is 642263059. The reversal of 642263040 is 40362246.

642263040 is a `hidden beast` number, since 6 + 4 + 22 + 630 + 4 + 0 = 666.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 642262995 and 642263013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6358990 + ... + 6359090.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^642263040 is an apocalyptic number.

642263040 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 642263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

642263040 is an abundant number, since it is smaller than the sum of its proper divisors (1763631360).

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

642263040 is a wasteful number, since it uses less digits than its factorization.

642263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 642263040 is about 25342.9090674295. The cubic root of 642263040 is about 862.7884252772.

The spelling of 642263040 in words is "six hundred forty-two million, two hundred sixty-three thousand, forty".