642198480 has 640 divisors, whose sum is σ = 2742681600. Its totient is φ = 120268800.

The previous prime is 642198467. The next prime is 642198503. The reversal of 642198480 is 84891246.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10884691 + ... + 10884749.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2^642198480 is an apocalyptic number.

642198480 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 642198480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371340800).

642198480 is an abundant number, since it is smaller than the sum of its proper divisors (2100483120).

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

642198480 is a wasteful number, since it uses less digits than its factorization.

642198480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 642198480 is about 25341.6353063491. The cubic root of 642198480 is about 862.7595152701.

The spelling of 642198480 in words is "six hundred forty-two million, one hundred ninety-eight thousand, four hundred eighty".