1016763079680 has 352 divisors, whose sum is σ = 3645425332800. Its totient is φ = 268733251584.

The previous prime is 1016763079667. The next prime is 1016763079687. The reversal of 1016763079680 is 869703676101.

It is a happy number.

1016763079680 is a `hidden beast` number, since 10 + 167 + 6 + 307 + 96 + 80 = 666.

1016763079680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016763079687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15588576 + ... + 15653664.

Almost surely, 2^{1016763079680} is an apocalyptic number.

1016763079680 is a gapful number since it is divisible by the number (10) 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 1016763079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822712666400).

1016763079680 is an abundant number, since it is smaller than the sum of its proper divisors (2628662253120).

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

1016763079680 is a wasteful number, since it uses less digits than its factorization.

1016763079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65236 (or 65212 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1016763079680 in words is "one trillion, sixteen billion, seven hundred sixty-three million, seventy-nine thousand, six hundred eighty".