77468046840 has 320 divisors, whose sum is σ = 271025092800. Its totient is φ = 19822344192.

The previous prime is 77468046809. The next prime is 77468046847. The reversal of 77468046840 is 4864086477.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77468046847) 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 79 ways as a sum of consecutive naturals, for example, 15688852 + ... + 15693788.

It is an arithmetic number, because the mean of its divisors is an integer number (846953415).

Almost surely, 2^77468046840 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 77468046840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135512546400).

77468046840 is an abundant number, since it is smaller than the sum of its proper divisors (193557045960).

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

77468046840 is a wasteful number, since it uses less digits than its factorization.

77468046840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 77468046840 in words is "seventy-seven billion, four hundred sixty-eight million, forty-six thousand, eight hundred forty".