78449895014400 has 3960 divisors, whose sum is σ = 376643963438820. Its totient is φ = 15981304872960.

The previous prime is 78449895014399. The next prime is 78449895014401. The reversal of 78449895014400 is 441059894487.

78449895014400 is a `hidden beast` number, since 7 + 8 + 4 + 4 + 9 + 89 + 501 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78449895014399) and next prime (78449895014401).

It can be written as a sum of positive squares in 6 ways, for example, as 15486050893824 + 62963844120576 = 3935232^2 + 7934976^2 .

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

It is not an unprimeable number, because it can be changed into a prime (78449895014401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2705168793586 + ... + 2705168793614.

Almost surely, 2^{78449895014400} is an apocalyptic number.

78449895014400 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 78449895014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188321981719410).

78449895014400 is an abundant number, since it is smaller than the sum of its proper divisors (298194068424420).

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

78449895014400 is an frugal number, since it uses more digits than its factorization.

78449895014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 78449895014400 in words is "seventy-eight trillion, four hundred forty-nine billion, eight hundred ninety-five million, fourteen thousand, four hundred".