7334000006400 has 324 divisors, whose sum is σ = 26277433011648. Its totient is φ = 1951502192640.

The previous prime is 7334000006357. The next prime is 7334000006407. The reversal of 7334000006400 is 46000004337.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7334000006407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26531299 + ... + 26806301.

Almost surely, 2^{7334000006400} 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 7334000006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138716505824).

7334000006400 is an abundant number, since it is smaller than the sum of its proper divisors (18943433005248).

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

7334000006400 is a wasteful number, since it uses less digits than its factorization.

7334000006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275498 (or 275476 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 7334000006400 in words is "seven trillion, three hundred thirty-four billion, six thousand, four hundred".