78906244919040 has 3456 divisors, whose sum is σ = 365641603891200. Its totient is φ = 16148101939200.

The previous prime is 78906244918973. The next prime is 78906244919071. The reversal of 78906244919040 is 4091944260987.

78906244919040 is a `hidden beast` number, since 7 + 8 + 9 + 0 + 62 + 449 + 1 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-3 number, since 3×78906244919040³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83322327847 + ... + 83322328793.

It is an arithmetic number, because the mean of its divisors is an integer number (105799075200).

Almost surely, 2^{78906244919040} is an apocalyptic number.

78906244919040 is a gapful number since it is divisible by the number (70) 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 78906244919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182820801945600).

78906244919040 is an abundant number, since it is smaller than the sum of its proper divisors (286735358972160).

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

78906244919040 is an equidigital number, since it uses as much as digits as its factorization.

78906244919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 78906244919040 in words is "seventy-eight trillion, nine hundred six billion, two hundred forty-four million, nine hundred nineteen thousand, forty".