78638322048 has 384 divisors, whose sum is σ = 249901999200. Its totient is φ = 21762048000.

The previous prime is 78638322031. The next prime is 78638322089. The reversal of 78638322048 is 84022383687.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×78638322048³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61006588 + ... + 61007876.

Almost surely, 2^78638322048 is an apocalyptic number.

78638322048 is a gapful number since it is divisible by the number (78) 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 78638322048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124950999600).

78638322048 is an abundant number, since it is smaller than the sum of its proper divisors (171263677152).

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

78638322048 is a wasteful number, since it uses less digits than its factorization.

78638322048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 78638322048 in words is "seventy-eight billion, six hundred thirty-eight million, three hundred twenty-two thousand, forty-eight".