7640508100 has 27 divisors (see below), whose sum is σ = 16581799591. Its totient is φ = 3055853600.

The previous prime is 7640508079. The next prime is 7640508119. The reversal of 7640508100 is 18050467.

The square root of 7640508100 is 87410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1660888516 + 5979619584 = 40754^2 + 77328^2 .

It is a super-2 number, since 2×7640508100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 869730 + ... + 878470.

Almost surely, 2^7640508100 is an apocalyptic number.

7640508100 is the 87410-th square number.

It is an amenable number.

7640508100 is an abundant number, since it is smaller than the sum of its proper divisors (8941291491).

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

7640508100 is an frugal number, since it uses more digits than its factorization.

7640508100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17496 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 7640508100 is about 1969.5820615285.

Adding to 7640508100 its reverse (18050467), we get a palindrome (7658558567).

The spelling of 7640508100 in words is "seven billion, six hundred forty million, five hundred eight thousand, one hundred".