77641261152000 has 1152 divisors, whose sum is σ = 318046483722240. Its totient is φ = 16347960115200.

The previous prime is 77641261151999. The next prime is 77641261152023. The reversal of 77641261152000 is 25116214677.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4394199166 + ... + 4394216834.

It is an arithmetic number, because the mean of its divisors is an integer number (276082017120).

Almost surely, 2^{77641261152000} is an apocalyptic number.

77641261152000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77641261152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159023241861120).

77641261152000 is an abundant number, since it is smaller than the sum of its proper divisors (240405222570240).

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

77641261152000 is a wasteful number, since it uses less digits than its factorization.

77641261152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18226 (or 18202 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

Adding to 77641261152000 its reverse (25116214677), we get a palindrome (77666377366677).

The spelling of 77641261152000 in words is "seventy-seven trillion, six hundred forty-one billion, two hundred sixty-one million, one hundred fifty-two thousand".