642617010 has 128 divisors (see below), whose sum is σ = 2043740160. Its totient is φ = 140488128.

The previous prime is 642616991. The next prime is 642617023. The reversal of 642617010 is 10716246.

642617010 is a `hidden beast` number, since 6 + 42 + 617 + 0 + 1 + 0 = 666.

642617010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36079 + ... + 50861.

It is an arithmetic number, because the mean of its divisors is an integer number (15966720).

Almost surely, 2^642617010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642617010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021870080).

642617010 is an abundant number, since it is smaller than the sum of its proper divisors (1401123150).

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

642617010 is a wasteful number, since it uses less digits than its factorization.

642617010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14829 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 642617010 is about 25349.8917157451. The cubic root of 642617010 is about 862.9468988370.

It can be divided in two parts, 6426 and 17010, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 642617010 in words is "six hundred forty-two million, six hundred seventeen thousand, ten".