7428636266400 has 432 divisors, whose sum is σ = 27274106642328. Its totient is φ = 1900965888000.

The previous prime is 7428636266371. The next prime is 7428636266411. The reversal of 7428636266400 is 46626368247.

7428636266400 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 6 + 3 + 626 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 289672156944 + 7138964109456 = 538212^2 + 2671884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17800932 + ... + 18213468.

Almost surely, 2^{7428636266400} 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 7428636266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13637053321164).

7428636266400 is an abundant number, since it is smaller than the sum of its proper divisors (19845470375928).

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

7428636266400 is a wasteful number, since it uses less digits than its factorization.

7428636266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412665 (or 412649 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 7428636266400 in words is "seven trillion, four hundred twenty-eight billion, six hundred thirty-six million, two hundred sixty-six thousand, four hundred".