1278836000640 has 512 divisors, whose sum is σ = 4953057984000. Its totient is φ = 309261680640.

The previous prime is 1278836000627. The next prime is 1278836000641. The reversal of 1278836000640 is 460006388721.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278836000641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79635492 + ... + 79651548.

It is an arithmetic number, because the mean of its divisors is an integer number (9673941375).

Almost surely, 2^{1278836000640} is an apocalyptic number.

1278836000640 is a gapful number since it is divisible by the number (10) 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 1278836000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476528992000).

1278836000640 is an abundant number, since it is smaller than the sum of its proper divisors (3674221983360).

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

1278836000640 is a wasteful number, since it uses less digits than its factorization.

1278836000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16515 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1278836000640 in words is "one trillion, two hundred seventy-eight billion, eight hundred thirty-six million, six hundred forty", and thus it is an aban number.