1077717121632 has 36 divisors (see below), whose sum is σ = 3064758065460. Its totient is φ = 359239040448.

The previous prime is 1077717121627. The next prime is 1077717121633. The reversal of 1077717121632 is 2361217177701.

1077717121632 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 7 + 1 + 7 + 1 + 2 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1077717121632² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077717121633) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1871036382 + ... + 1871036957.

It is an arithmetic number, because the mean of its divisors is an integer number (85132168485).

Almost surely, 2^{1077717121632} is an apocalyptic number.

1077717121632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1077717121632 is an abundant number, since it is smaller than the sum of its proper divisors (1987040943828).

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

1077717121632 is a wasteful number, since it uses less digits than its factorization.

1077717121632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742073355 (or 3742073344 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 1077717121632 in words is "one trillion, seventy-seven billion, seven hundred seventeen million, one hundred twenty-one thousand, six hundred thirty-two".