642368832480 has 384 divisors, whose sum is σ = 2375129433600. Its totient is φ = 161699328000.

The previous prime is 642368832467. The next prime is 642368832527. The reversal of 642368832480 is 84238863246.

642368832480 is a `hidden beast` number, since 6 + 4 + 23 + 68 + 83 + 2 + 480 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent 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, 23050555 + ... + 23078405.

It is an arithmetic number, because the mean of its divisors is an integer number (6185232900).

Almost surely, 2^642368832480 is an apocalyptic number.

642368832480 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 642368832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187564716800).

642368832480 is an abundant number, since it is smaller than the sum of its proper divisors (1732760601120).

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

642368832480 is a wasteful number, since it uses less digits than its factorization.

642368832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28175 (or 28161 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 642368832480 in words is "six hundred forty-two billion, three hundred sixty-eight million, eight hundred thirty-two thousand, four hundred eighty".