7770975678144 has 1344 divisors, whose sum is σ = 27395412295680. Its totient is φ = 2060577792000.

The previous prime is 7770975678143. The next prime is 7770975678173. The reversal of 7770975678144 is 4418765790777.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7770975678143) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59320424959 + ... + 59320425089.

Almost surely, 2^{7770975678144} 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 7770975678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13697706147840).

7770975678144 is an abundant number, since it is smaller than the sum of its proper divisors (19624436617536).

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

7770975678144 is a wasteful number, since it uses less digits than its factorization.

7770975678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 580849920, while the sum is 72.

The spelling of 7770975678144 in words is "seven trillion, seven hundred seventy billion, nine hundred seventy-five million, six hundred seventy-eight thousand, one hundred forty-four".