1077609123864 has 1344 divisors, whose sum is σ = 4080705531840. Its totient is φ = 263363788800.

The previous prime is 1077609123821. The next prime is 1077609123887. The reversal of 1077609123864 is 4683219067701.

1077609123864 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 609 + 1 + 23 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×1077609123864² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1077609123864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7136484189 + ... + 7136484339.

It is an arithmetic number, because the mean of its divisors is an integer number (3036239235).

Almost surely, 2^{1077609123864} is an apocalyptic number.

1077609123864 is a gapful number since it is divisible by the number (14) 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 1077609123864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040352765920).

1077609123864 is an abundant number, since it is smaller than the sum of its proper divisors (3003096407976).

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

1077609123864 is a wasteful number, since it uses less digits than its factorization.

1077609123864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1077609123864 in words is "one trillion, seventy-seven billion, six hundred nine million, one hundred twenty-three thousand, eight hundred sixty-four".