77101418496 has 96 divisors (see below), whose sum is σ = 207034682400. Its totient is φ = 25515294720.

The previous prime is 77101418453. The next prime is 77101418507. The reversal of 77101418496 is 69481410177.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808876 + ... + 899156.

It is an arithmetic number, because the mean of its divisors is an integer number (2156611275).

Almost surely, 2^77101418496 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 77101418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103517341200).

77101418496 is an abundant number, since it is smaller than the sum of its proper divisors (129933263904).

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

77101418496 is a wasteful number, since it uses less digits than its factorization.

77101418496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90445 (or 90425 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 77101418496 in words is "seventy-seven billion, one hundred one million, four hundred eighteen thousand, four hundred ninety-six".