4627906838400 has 768 divisors, whose sum is σ = 16396506984960. Its totient is φ = 1144283627520.

The previous prime is 4627906838393. The next prime is 4627906838419. The reversal of 4627906838400 is 48386097264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2589762307 + ... + 2589764093.

It is an arithmetic number, because the mean of its divisors is an integer number (21349618470).

Almost surely, 2^{4627906838400} is an apocalyptic number.

4627906838400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4627906838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198253492480).

4627906838400 is an abundant number, since it is smaller than the sum of its proper divisors (11768600146560).

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

4627906838400 is a wasteful number, since it uses less digits than its factorization.

4627906838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 4627906838400 in words is "four trillion, six hundred twenty-seven billion, nine hundred six million, eight hundred thirty-eight thousand, four hundred".