78027473378448 has 480 divisors, whose sum is σ = 251180263434240. Its totient is φ = 23168469139200.

The previous prime is 78027473378389. The next prime is 78027473378453. The reversal of 78027473378448 is 84487337472087.

78027473378448 is a `hidden beast` number, since 7 + 8 + 0 + 2 + 7 + 473 + 37 + 84 + 48 = 666.

It is a super-2 number, since 2×78027473378448² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604879365 + ... + 605008347.

It is an arithmetic number, because the mean of its divisors is an integer number (523292215488).

Almost surely, 2^{78027473378448} 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 78027473378448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125590131717120).

78027473378448 is an abundant number, since it is smaller than the sum of its proper divisors (173152790055792).

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

78027473378448 is a wasteful number, since it uses less digits than its factorization.

78027473378448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129256 (or 129233 counting only the distinct ones).

The product of its (nonzero) digits is 1416167424, while the sum is 72.

The spelling of 78027473378448 in words is "seventy-eight trillion, twenty-seven billion, four hundred seventy-three million, three hundred seventy-eight thousand, four hundred forty-eight".