49467264000 has 1056 divisors, whose sum is σ = 209686164480. Its totient is φ = 10235904000.

The previous prime is 49467263957. The next prime is 49467264017. The reversal of 49467264000 is 46276494.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206975881 + ... + 206976119.

Almost surely, 2^49467264000 is an apocalyptic number.

49467264000 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 49467264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104843082240).

49467264000 is an abundant number, since it is smaller than the sum of its proper divisors (160218900480).

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

49467264000 is a wasteful number, since it uses less digits than its factorization.

49467264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 49467264000 in words is "forty-nine billion, four hundred sixty-seven million, two hundred sixty-four thousand".