350643790080 has 432 divisors, whose sum is σ = 1324363360320. Its totient is φ = 88582201344.

The previous prime is 350643790027. The next prime is 350643790087. The reversal of 350643790080 is 80097346053.

350643790080 is a `hidden beast` number, since 3 + 50 + 6 + 437 + 90 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (350643790087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5880094 + ... + 5939426.

Almost surely, 2^350643790080 is an apocalyptic number.

350643790080 is a gapful number since it is divisible by the number (30) 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 350643790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662181680160).

350643790080 is an abundant number, since it is smaller than the sum of its proper divisors (973719570240).

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

350643790080 is an equidigital number, since it uses as much as digits as its factorization.

350643790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59388 (or 59362 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 350643790080 in words is "three hundred fifty billion, six hundred forty-three million, seven hundred ninety thousand, eighty".