1077628744296 has 72 divisors (see below), whose sum is σ = 3143176471890. Its totient is φ = 331568303040.

The previous prime is 1077628744271. The next prime is 1077628744307. The reversal of 1077628744296 is 6924478267701.

1077628744296 is a `hidden beast` number, since 1 + 0 + 77 + 62 + 87 + 4 + 429 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1036181484900 + 41447259396 = 1017930^2 + 203586^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1077628744296² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31742451 + ... + 31776381.

Almost surely, 2^{1077628744296} is an apocalyptic number.

It is an amenable number.

1077628744296 is an abundant number, since it is smaller than the sum of its proper divisors (2065547727594).

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

1077628744296 is an frugal number, since it uses more digits than its factorization.

1077628744296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67887 (or 33949 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 1077628744296 in words is "one trillion, seventy-seven billion, six hundred twenty-eight million, seven hundred forty-four thousand, two hundred ninety-six".