1078673637888 has 1440 divisors, whose sum is σ = 4263718979520. Its totient is φ = 258626027520.

The previous prime is 1078673637823. The next prime is 1078673637913. The reversal of 1078673637888 is 8887363768701.

1078673637888 is a `hidden beast` number, since 107 + 8 + 6 + 73 + 6 + 378 + 88 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2491162920 + ... + 2491163352.

It is an arithmetic number, because the mean of its divisors is an integer number (2960915958).

Almost surely, 2^{1078673637888} is an apocalyptic number.

1078673637888 is a gapful number since it is divisible by the number (18) 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 1078673637888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131859489760).

1078673637888 is an abundant number, since it is smaller than the sum of its proper divisors (3185045341632).

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

1078673637888 is a wasteful number, since it uses less digits than its factorization.

1078673637888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 1078673637888 in words is "one trillion, seventy-eight billion, six hundred seventy-three million, six hundred thirty-seven thousand, eight hundred eighty-eight".