77342733006408 has 256 divisors, whose sum is σ = 227370768768000. Its totient is φ = 24292055789568.

The previous prime is 77342733006401. The next prime is 77342733006493. The reversal of 77342733006408 is 80460033724377.

It is a happy number.

77342733006408 is a `hidden beast` number, since 7 + 7 + 3 + 4 + 273 + 300 + 64 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (77342733006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5008263535 + ... + 5008278977.

It is an arithmetic number, because the mean of its divisors is an integer number (888167065500).

Almost surely, 2^{77342733006408} 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 77342733006408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113685384384000).

77342733006408 is an abundant number, since it is smaller than the sum of its proper divisors (150028035761592).

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

77342733006408 is a wasteful number, since it uses less digits than its factorization.

77342733006408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21993 (or 21983 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 77342733006408 in words is "seventy-seven trillion, three hundred forty-two billion, seven hundred thirty-three million, six thousand, four hundred eight".