78265388079648 has 648 divisors, whose sum is σ = 295121416249296. Its totient is φ = 20328660253440.

The previous prime is 78265388079617. The next prime is 78265388079689. The reversal of 78265388079648 is 84697088356287.

78265388079648 is a `hidden beast` number, since 7 + 8 + 2 + 6 + 538 + 8 + 0 + 79 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×78265388079648² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 45255111 + ... + 46952697.

Almost surely, 2^{78265388079648} 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 78265388079648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147560708124648).

78265388079648 is an abundant number, since it is smaller than the sum of its proper divisors (216856028169648).

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

78265388079648 is a wasteful number, since it uses less digits than its factorization.

78265388079648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697648 (or 1697610 counting only the distinct ones).

The product of its (nonzero) digits is 7803371520, while the sum is 81.

The spelling of 78265388079648 in words is "seventy-eight trillion, two hundred sixty-five billion, three hundred eighty-eight million, seventy-nine thousand, six hundred forty-eight".