642750214140 has 288 divisors, whose sum is σ = 1995805593600. Its totient is φ = 167401728000.

The previous prime is 642750214111. The next prime is 642750214153. The reversal of 642750214140 is 41412057246.

642750214140 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 502 + 1 + 4 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 642750214095 and 642750214104.

It is a congruent number.

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, 855858765 + ... + 855859515.

Almost surely, 2^642750214140 is an apocalyptic number.

642750214140 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 642750214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997902796800).

642750214140 is an abundant number, since it is smaller than the sum of its proper divisors (1353055379460).

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

642750214140 is a wasteful number, since it uses less digits than its factorization.

642750214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 642750214140 in words is "six hundred forty-two billion, seven hundred fifty million, two hundred fourteen thousand, one hundred forty".