642400016460 has 24 divisors (see below), whose sum is σ = 1798720046256. Its totient is φ = 171306671040.

The previous prime is 642400016443. The next prime is 642400016473. The reversal of 642400016460 is 64610004246.

It is a super-2 number, since 2×642400016460² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5353333411 + ... + 5353333530.

It is an arithmetic number, because the mean of its divisors is an integer number (74946668594).

Almost surely, 2^642400016460 is an apocalyptic number.

642400016460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642400016460 is an abundant number, since it is smaller than the sum of its proper divisors (1156320029796).

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

642400016460 is a wasteful number, since it uses less digits than its factorization.

642400016460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706666953 (or 10706666951 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 642400016460 in words is "six hundred forty-two billion, four hundred million, sixteen thousand, four hundred sixty".