77214324264 has 256 divisors, whose sum is σ = 247864320000. Its totient is φ = 19869131520.

The previous prime is 77214324251. The next prime is 77214324269. The reversal of 77214324264 is 46242341277.

It is a super-2 number, since 2×77214324264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (77214324269) 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, 9866257 + ... + 9874079.

It is an arithmetic number, because the mean of its divisors is an integer number (968220000).

Almost surely, 2^77214324264 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 77214324264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123932160000).

77214324264 is an abundant number, since it is smaller than the sum of its proper divisors (170649995736).

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

77214324264 is a wasteful number, since it uses less digits than its factorization.

77214324264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973 (or 7955 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The spelling of 77214324264 in words is "seventy-seven billion, two hundred fourteen million, three hundred twenty-four thousand, two hundred sixty-four".