350672640000 has 960 divisors, whose sum is σ = 1252669017600. Its totient is φ = 87048192000.

The previous prime is 350672639969. The next prime is 350672640007. The reversal of 350672640000 is 46276053.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350672640007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5233919967 + ... + 5233920033.

It is an arithmetic number, because the mean of its divisors is an integer number (1304863560).

Almost surely, 2^350672640000 is an apocalyptic number.

350672640000 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 350672640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626334508800).

350672640000 is an abundant number, since it is smaller than the sum of its proper divisors (901996377600).

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

350672640000 is an equidigital number, since it uses as much as digits as its factorization.

350672640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 350672640000 in words is "three hundred fifty billion, six hundred seventy-two million, six hundred forty thousand".