78374617744 has 80 divisors (see below), whose sum is σ = 166592449008. Its totient is φ = 35567271936.

The previous prime is 78374617733. The next prime is 78374617753. The reversal of 78374617744 is 44771647387.

It can be written as a sum of positive squares in 8 ways, for example, as 64192144 + 78310425600 = 8012^2 + 279840^2 .

It is a super-2 number, since 2×78374617744² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102774 + ... + 1171690.

Almost surely, 2^78374617744 is an apocalyptic number.

78374617744 is a gapful number since it is divisible by the number (74) 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 78374617744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83296224504).

78374617744 is an abundant number, since it is smaller than the sum of its proper divisors (88217831264).

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

78374617744 is a wasteful number, since it uses less digits than its factorization.

78374617744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69092 (or 69086 counting only the distinct ones).

The product of its digits is 22127616, while the sum is 58.

The spelling of 78374617744 in words is "seventy-eight billion, three hundred seventy-four million, six hundred seventeen thousand, seven hundred forty-four".