761224991688 has 324 divisors, whose sum is σ = 2471040661635. Its totient is φ = 211081635072.

The previous prime is 761224991581. The next prime is 761224991689. The reversal of 761224991688 is 886199422167.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

761224991688 is a `hidden beast` number, since 7 + 6 + 122 + 499 + 16 + 8 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 742695792804 + 18529198884 = 861798^2 + 136122^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=616938.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (761224991689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1917443106 + ... + 1917443502.

Almost surely, 2^761224991688 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 761224991688

761224991688 is an abundant number, since it is smaller than the sum of its proper divisors (1709815669947).

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

761224991688 is a wasteful number, since it uses less digits than its factorization.

761224991688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 446 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 761224991688 in words is "seven hundred sixty-one billion, two hundred twenty-four million, nine hundred ninety-one thousand, six hundred eighty-eight".