77813309740032 has 176 divisors, whose sum is σ = 233221834870080. Its totient is φ = 25625265905664.

The previous prime is 77813309740009. The next prime is 77813309740093. The reversal of 77813309740032 is 23004790331877.

77813309740032 is a `hidden beast` number, since 7 + 78 + 133 + 0 + 9 + 7 + 400 + 32 = 666.

It is a super-3 number, since 3×77813309740032³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14659603 + ... + 19249170.

Almost surely, 2^{77813309740032} is an apocalyptic number.

77813309740032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77813309740032 is an abundant number, since it is smaller than the sum of its proper divisors (155408525130048).

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

77813309740032 is a wasteful number, since it uses less digits than its factorization.

77813309740032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33908885 (or 33908861 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 77813309740032 in words is "seventy-seven trillion, eight hundred thirteen billion, three hundred nine million, seven hundred forty thousand, thirty-two".