642678120 has 144 divisors (see below), whose sum is σ = 2429783460. Its totient is φ = 146893824.

The previous prime is 642678119. The next prime is 642678133. The reversal of 642678120 is 21876246.

642678120 is a `hidden beast` number, since 642 + 6 + 7 + 8 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 628705476 + 13972644 = 25074^2 + 3738^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 577 + ... + 35856.

Almost surely, 2^642678120 is an apocalyptic number.

642678120 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 642678120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214891730).

642678120 is an abundant number, since it is smaller than the sum of its proper divisors (1787105340).

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

642678120 is a wasteful number, since it uses less digits than its factorization.

642678120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36464 (or 36450 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 642678120 is about 25351.0970176835. The cubic root of 642678120 is about 862.9742520986.

The spelling of 642678120 in words is "six hundred forty-two million, six hundred seventy-eight thousand, one hundred twenty".