77010688189440 has 704 divisors, whose sum is σ = 274776244704000. Its totient is φ = 20454282362880.

The previous prime is 77010688189433. The next prime is 77010688189447. The reversal of 77010688189440 is 4498188601077.

77010688189440 is a `hidden beast` number, since 7 + 7 + 0 + 1 + 0 + 6 + 8 + 8 + 189 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (77010688189433) and next prime (77010688189447).

It is a super-2 number, since 2×77010688189440² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77010688189447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 51999113500 + ... + 51999114980.

Almost surely, 2^{77010688189440} 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 77010688189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137388122352000).

77010688189440 is an abundant number, since it is smaller than the sum of its proper divisors (197765556514560).

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

77010688189440 is a wasteful number, since it uses less digits than its factorization.

77010688189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 77010688189440 in words is "seventy-seven trillion, ten billion, six hundred eighty-eight million, one hundred eighty-nine thousand, four hundred forty".