78629638248 has 128 divisors (see below), whose sum is σ = 249787084800. Its totient is φ = 22450385088.

The previous prime is 78629638193. The next prime is 78629638249. The reversal of 78629638248 is 84283692687.

78629638248 is a `hidden beast` number, since 78 + 6 + 296 + 38 + 248 = 666.

It is a super-2 number, since 2×78629638248² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78629638249) 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, 2316165 + ... + 2349867.

It is an arithmetic number, because the mean of its divisors is an integer number (1951461600).

Almost surely, 2^78629638248 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 78629638248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124893542400).

78629638248 is an abundant number, since it is smaller than the sum of its proper divisors (171157446552).

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

78629638248 is a wasteful number, since it uses less digits than its factorization.

78629638248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35268 (or 35258 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 78629638248 in words is "seventy-eight billion, six hundred twenty-nine million, six hundred thirty-eight thousand, two hundred forty-eight".