1027763412984 has 640 divisors, whose sum is σ = 3801501504000. Its totient is φ = 251156505600.

The previous prime is 1027763412979. The next prime is 1027763413007. The reversal of 1027763412984 is 4892143677201.

1027763412984 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 7 + 6 + 341 + 298 + 4 = 666.

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 1027763412984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 376330899 + ... + 376333629.

It is an arithmetic number, because the mean of its divisors is an integer number (5939846100).

Almost surely, 2^{1027763412984} is an apocalyptic number.

1027763412984 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 1027763412984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900750752000).

1027763412984 is an abundant number, since it is smaller than the sum of its proper divisors (2773738091016).

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

1027763412984 is a wasteful number, since it uses less digits than its factorization.

1027763412984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1027763412984 in words is "one trillion, twenty-seven billion, seven hundred sixty-three million, four hundred twelve thousand, nine hundred eighty-four".