49668326400 has 1056 divisors, whose sum is σ = 211119916032. Its totient is φ = 9997516800.

The previous prime is 49668326359. The next prime is 49668326423. The reversal of 49668326400 is 462386694.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49668326400.

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, 218803087 + ... + 218803313.

Almost surely, 2^49668326400 is an apocalyptic number.

49668326400 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 49668326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105559958016).

49668326400 is an abundant number, since it is smaller than the sum of its proper divisors (161451589632).

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

49668326400 is a wasteful number, since it uses less digits than its factorization.

49668326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 49668326400 in words is "forty-nine billion, six hundred sixty-eight million, three hundred twenty-six thousand, four hundred".