77473564608 has 224 divisors, whose sum is σ = 235842048000. Its totient is φ = 22198164480.

The previous prime is 77473564601. The next prime is 77473564631. The reversal of 77473564608 is 80646537477.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77473564601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24837673 + ... + 24840791.

Almost surely, 2^77473564608 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 77473564608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117921024000).

77473564608 is an abundant number, since it is smaller than the sum of its proper divisors (158368483392).

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

77473564608 is a wasteful number, since it uses less digits than its factorization.

77473564608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 57.

The spelling of 77473564608 in words is "seventy-seven billion, four hundred seventy-three million, five hundred sixty-four thousand, six hundred eight".