770113465632 has 576 divisors, whose sum is σ = 2724463123200. Its totient is φ = 201357066240.

The previous prime is 770113465621. The next prime is 770113465633. The reversal of 770113465632 is 236564311077.

770113465632 is a `hidden beast` number, since 7 + 7 + 0 + 1 + 1 + 3 + 4 + 6 + 5 + 632 = 666.

770113465632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (770113465633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186060619 + ... + 186064757.

It is an arithmetic number, because the mean of its divisors is an integer number (4729970700).

Almost surely, 2^770113465632 is an apocalyptic number.

770113465632 is a gapful number since it is divisible by the number (72) 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 770113465632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362231561600).

770113465632 is an abundant number, since it is smaller than the sum of its proper divisors (1954349657568).

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

770113465632 is a wasteful number, since it uses less digits than its factorization.

770113465632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 770113465632 in words is "seven hundred seventy billion, one hundred thirteen million, four hundred sixty-five thousand, six hundred thirty-two".