763213238599680 has 1536 divisors, whose sum is σ = 2928150741934080. Its totient is φ = 182358103818240.

The previous prime is 763213238599649. The next prime is 763213238599739. The reversal of 763213238599680 is 86995832312367.

763213238599680 is a `hidden beast` number, since 7 + 6 + 3 + 2 + 1 + 3 + 23 + 8 + 599 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×763213238599680³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 763213238599599 and 763213238599608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335773531024 + ... + 335773533296.

It is an arithmetic number, because the mean of its divisors is an integer number (1906348139280).

Almost surely, 2^{763213238599680} 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 763213238599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464075370967040).

763213238599680 is an abundant number, since it is smaller than the sum of its proper divisors (2164937503334400).

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

763213238599680 is a wasteful number, since it uses less digits than its factorization.

763213238599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 763213238599680 in words is "seven hundred sixty-three trillion, two hundred thirteen billion, two hundred thirty-eight million, five hundred ninety-nine thousand, six hundred eighty".