7612064100 has 180 divisors, whose sum is σ = 25278244068. Its totient is φ = 1980288000.

The previous prime is 7612064081. The next prime is 7612064129. The reversal of 7612064100 is 14602167.

7612064100 is a `hidden beast` number, since 7 + 6 + 12 + 0 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1373591844 + 6238472256 = 37062^2 + 78984^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 320640 + ... + 343560.

Almost surely, 2^7612064100 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 7612064100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639122034).

7612064100 is an abundant number, since it is smaller than the sum of its proper divisors (17666179968).

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

7612064100 is a wasteful number, since it uses less digits than its factorization.

7612064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22988 (or 22972 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7612064100 is about 87247.1437927913. The cubic root of 7612064100 is about 1967.1349094146.

Adding to 7612064100 its reverse (14602167), we get a palindrome (7626666267).

The spelling of 7612064100 in words is "seven billion, six hundred twelve million, sixty-four thousand, one hundred".