5970646500 has 768 divisors, whose sum is σ = 23670226944. Its totient is φ = 1133568000.

The previous prime is 5970646489. The next prime is 5970646501. The reversal of 5970646500 is 56460795.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5970646501) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 71935459 + ... + 71935541.

It is an arithmetic number, because the mean of its divisors is an integer number (30820608).

Almost surely, 2^5970646500 is an apocalyptic number.

5970646500 is a gapful number since it is divisible by the number (50) 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 5970646500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835113472).

5970646500 is an abundant number, since it is smaller than the sum of its proper divisors (17699580444).

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

5970646500 is a wasteful number, since it uses less digits than its factorization.

5970646500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 5970646500 is about 77269.9585867626. The cubic root of 5970646500 is about 1814.1524778969.

The spelling of 5970646500 in words is "five billion, nine hundred seventy million, six hundred forty-six thousand, five hundred".