1077212627568 has 480 divisors, whose sum is σ = 3904950067200. Its totient is φ = 279281882880.

The previous prime is 1077212627483. The next prime is 1077212627581. The reversal of 1077212627568 is 8657262127701.

1077212627568 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 2 + 1 + 2 + 627 + 5 + 6 + 8 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 179323221 + ... + 179329227.

It is an arithmetic number, because the mean of its divisors is an integer number (8135312640).

Almost surely, 2^{1077212627568} is an apocalyptic number.

1077212627568 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 1077212627568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952475033600).

1077212627568 is an abundant number, since it is smaller than the sum of its proper divisors (2827737439632).

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

1077212627568 is a wasteful number, since it uses less digits than its factorization.

1077212627568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 1077212627568 in words is "one trillion, seventy-seven billion, two hundred twelve million, six hundred twenty-seven thousand, five hundred sixty-eight".