7335672642400 has 144 divisors (see below), whose sum is σ = 18688701846528. Its totient is φ = 2806410816000.

The previous prime is 7335672642373. The next prime is 7335672642491. The reversal of 7335672642400 is 42462765337.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353840035 + ... + 353860765.

It is an arithmetic number, because the mean of its divisors is an integer number (129782651712).

Almost surely, 2^{7335672642400} 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 7335672642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9344350923264).

7335672642400 is an abundant number, since it is smaller than the sum of its proper divisors (11353029204128).

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

7335672642400 is a wasteful number, since it uses less digits than its factorization.

7335672642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40005 (or 39992 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 7335672642400 in words is "seven trillion, three hundred thirty-five billion, six hundred seventy-two million, six hundred forty-two thousand, four hundred".