76205701490688 has 768 divisors, whose sum is σ = 282515782348800. Its totient is φ = 19718137774080.

The previous prime is 76205701490687. The next prime is 76205701490701. The reversal of 76205701490688 is 88609410750267.

76205701490688 is a `hidden beast` number, since 7 + 62 + 0 + 5 + 7 + 0 + 1 + 490 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (76205701490683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1119765270 + ... + 1119833322.

It is an arithmetic number, because the mean of its divisors is an integer number (367859091600).

Almost surely, 2^{76205701490688} 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 76205701490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141257891174400).

76205701490688 is an abundant number, since it is smaller than the sum of its proper divisors (206310080858112).

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

76205701490688 is a wasteful number, since it uses less digits than its factorization.

76205701490688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68365 (or 68339 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 76205701490688 in words is "seventy-six trillion, two hundred five billion, seven hundred one million, four hundred ninety thousand, six hundred eighty-eight".