6351661536 has 96 divisors (see below), whose sum is σ = 18680554368. Its totient is φ = 1872714240.

The previous prime is 6351661529. The next prime is 6351661543.

6351661536 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6351661529) and next prime (6351661543).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 42210 + ... + 120353.

It is an arithmetic number, because the mean of its divisors is an integer number (194589108).

Almost surely, 2^6351661536 is an apocalyptic number.

6351661536 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6351661536 is an abundant number, since it is smaller than the sum of its proper divisors (12328892832).

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

6351661536 is a wasteful number, since it uses less digits than its factorization.

6351661536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162624 (or 162616 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 6351661536 is about 79697.3119747460. The cubic root of 6351661536 is about 1851.9493973955.

The spelling of 6351661536 in words is "six billion, three hundred fifty-one million, six hundred sixty-one thousand, five hundred thirty-six".