78162341437440 has 1512 divisors, whose sum is σ = 304837330847868. Its totient is φ = 19228781445120.

The previous prime is 78162341437423. The next prime is 78162341437457. The reversal of 78162341437440 is 4473414326187.

78162341437440 is a `hidden beast` number, since 7 + 8 + 1 + 623 + 4 + 1 + 4 + 3 + 7 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78162341437423) and next prime (78162341437457).

It can be written as a sum of positive squares in 6 ways, for example, as 14676377112576 + 63485964324864 = 3830976^2 + 7967808^2 .

It is a super-2 number, since 2×78162341437440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 45416815780 + ... + 45416817500.

Almost surely, 2^{78162341437440} 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 78162341437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152418665423934).

78162341437440 is an abundant number, since it is smaller than the sum of its proper divisors (226674989410428).

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

78162341437440 is an frugal number, since it uses more digits than its factorization.

78162341437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 78162341437440 in words is "seventy-eight trillion, one hundred sixty-two billion, three hundred forty-one million, four hundred thirty-seven thousand, four hundred forty".