4626726998400 has 1152 divisors, whose sum is σ = 18504803116800. Its totient is φ = 1134743592960.

The previous prime is 4626726998371. The next prime is 4626726998431. The reversal of 4626726998400 is 48996276264.

4626726998400 is a `hidden beast` number, since 4 + 62 + 67 + 26 + 9 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3507752941 + ... + 3507754259.

It is an arithmetic number, because the mean of its divisors is an integer number (16063197150).

Almost surely, 2^{4626726998400} is an apocalyptic number.

4626726998400 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 4626726998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9252401558400).

4626726998400 is an abundant number, since it is smaller than the sum of its proper divisors (13878076118400).

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

4626726998400 is a wasteful number, since it uses less digits than its factorization.

4626726998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 4626726998400 in words is "four trillion, six hundred twenty-six billion, seven hundred twenty-six million, nine hundred ninety-eight thousand, four hundred".