7346642000 has 80 divisors (see below), whose sum is σ = 17833001472. Its totient is φ = 2927273600.

The previous prime is 7346641999. The next prime is 7346642057. The reversal of 7346642000 is 2466437.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 519017 + ... + 532983.

Almost surely, 2^7346642000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7346642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916500736).

7346642000 is an abundant number, since it is smaller than the sum of its proper divisors (10486359472).

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

7346642000 is a wasteful number, since it uses less digits than its factorization.

7346642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253 (or 14237 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 7346642000 is about 85712.5545063266. The cubic root of 7346642000 is about 1944.0001425370. Note that the first 3 decimals are identical.

The spelling of 7346642000 in words is "seven billion, three hundred forty-six million, six hundred forty-two thousand".