49320756000 has 288 divisors, whose sum is σ = 176659282800. Its totient is φ = 13030502400.

The previous prime is 49320755969. The next prime is 49320756007. The reversal of 49320756000 is 65702394.

49320756000 is a `hidden beast` number, since 4 + 93 + 2 + 0 + 7 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17080398864 + 32240357136 = 130692^2 + 179556^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49320756007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3917716 + ... + 3930284.

Almost surely, 2^49320756000 is an apocalyptic number.

49320756000 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 49320756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88329641400).

49320756000 is an abundant number, since it is smaller than the sum of its proper divisors (127338526800).

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

49320756000 is a wasteful number, since it uses less digits than its factorization.

49320756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709 (or 12688 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 49320756000 in words is "forty-nine billion, three hundred twenty million, seven hundred fifty-six thousand".