7926326400 has 384 divisors, whose sum is σ = 27456278400. Its totient is φ = 2007040000.

The previous prime is 7926326351. The next prime is 7926326407. The reversal of 7926326400 is 46236297.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (7926326407) 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, 19766200 + ... + 19766600.

It is an arithmetic number, because the mean of its divisors is an integer number (71500725).

Almost surely, 2^7926326400 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 7926326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728139200).

7926326400 is an abundant number, since it is smaller than the sum of its proper divisors (19529952000).

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

7926326400 is a wasteful number, since it uses less digits than its factorization.

7926326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 7926326400 is about 89029.9185667380. The cubic root of 7926326400 is about 1993.8415897888.

The spelling of 7926326400 in words is "seven billion, nine hundred twenty-six million, three hundred twenty-six thousand, four hundred".