77258043648 has 504 divisors, whose sum is σ = 247716120960. Its totient is φ = 23977451520.

The previous prime is 77258043631. The next prime is 77258043679. The reversal of 77258043648 is 84634085277.

77258043648 is a `hidden beast` number, since 77 + 25 + 80 + 436 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77258043594 and 77258043603.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 175986213 + ... + 175986651.

It is an arithmetic number, because the mean of its divisors is an integer number (491500240).

Almost surely, 2^77258043648 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 77258043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123858060480).

77258043648 is an abundant number, since it is smaller than the sum of its proper divisors (170458077312).

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

77258043648 is an equidigital number, since it uses as much as digits as its factorization.

77258043648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 77258043648 in words is "seventy-seven billion, two hundred fifty-eight million, forty-three thousand, six hundred forty-eight".