642898296000 has 672 divisors, whose sum is σ = 2397240588288. Its totient is φ = 170555673600.

The previous prime is 642898295911. The next prime is 642898296017. The reversal of 642898296000 is 692898246.

It is a happy number.

642898296000 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 9 + 8 + 29 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433511259 + ... + 433512741.

It is an arithmetic number, because the mean of its divisors is an integer number (3567322304).

Almost surely, 2^642898296000 is an apocalyptic number.

642898296000 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 642898296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198620294144).

642898296000 is an abundant number, since it is smaller than the sum of its proper divisors (1754342292288).

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

642898296000 is a wasteful number, since it uses less digits than its factorization.

642898296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 642898296000 in words is "six hundred forty-two billion, eight hundred ninety-eight million, two hundred ninety-six thousand".