49567645670400 has 3168 divisors, whose sum is σ = 217461152720448. Its totient is φ = 10625325465600.

The previous prime is 49567645670369. The next prime is 49567645670429. The reversal of 49567645670400 is 407654676594.

49567645670400 is a `hidden beast` number, since 4 + 9 + 5 + 6 + 7 + 64 + 567 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-3 number, since 3×49567645670400³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88990386922 + ... + 88990387478.

Almost surely, 2^{49567645670400} is an apocalyptic number.

49567645670400 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 49567645670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108730576360224).

49567645670400 is an abundant number, since it is smaller than the sum of its proper divisors (167893507050048).

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

49567645670400 is a wasteful number, since it uses less digits than its factorization.

49567645670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 49567645670400 in words is "forty-nine trillion, five hundred sixty-seven billion, six hundred forty-five million, six hundred seventy thousand, four hundred".