5007121756 has 192 divisors, whose sum is σ = 11797632000. Its totient is φ = 1804529664.

The previous prime is 5007121739. The next prime is 5007121771. The reversal of 5007121756 is 6571217005.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33604770 + ... + 33604918.

It is an arithmetic number, because the mean of its divisors is an integer number (61446000).

Almost surely, 2^5007121756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5007121756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898816000).

5007121756 is an abundant number, since it is smaller than the sum of its proper divisors (6790510244).

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

5007121756 is a wasteful number, since it uses less digits than its factorization.

5007121756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 5007121756 is about 70761.0186190108. The cubic root of 5007121756 is about 1710.7874302832.

The spelling of 5007121756 in words is "five billion, seven million, one hundred twenty-one thousand, seven hundred fifty-six".