77634003040 has 384 divisors, whose sum is σ = 216748224000. Its totient is φ = 26050222080.

The previous prime is 77634003011. The next prime is 77634003079. The reversal of 77634003040 is 4030043677.

It is a super-3 number, since 3×77634003040³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77634002987 and 77634003005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712238506 + ... + 712238614.

It is an arithmetic number, because the mean of its divisors is an integer number (564448500).

Almost surely, 2^77634003040 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 77634003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108374112000).

77634003040 is an abundant number, since it is smaller than the sum of its proper divisors (139114220960).

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

77634003040 is a wasteful number, since it uses less digits than its factorization.

77634003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The spelling of 77634003040 in words is "seventy-seven billion, six hundred thirty-four million, three thousand, forty".