1026767647152 has 720 divisors, whose sum is σ = 3326223858048. Its totient is φ = 306369423360.

The previous prime is 1026767647117. The next prime is 1026767647159. The reversal of 1026767647152 is 2517467676201.

1026767647152 is a `hidden beast` number, since 1 + 0 + 2 + 67 + 67 + 6 + 471 + 52 = 666.

1026767647152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1026767647152² (a number of 25 digits) contains 22 as substring.

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 (1026767647159) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3653977252 + ... + 3653977532.

Almost surely, 2^{1026767647152} is an apocalyptic number.

1026767647152 is a gapful number since it is divisible by the number (12) 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 1026767647152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663111929024).

1026767647152 is an abundant number, since it is smaller than the sum of its proper divisors (2299456210896).

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

1026767647152 is a wasteful number, since it uses less digits than its factorization.

1026767647152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 1026767647152 in words is "one trillion, twenty-six billion, seven hundred sixty-seven million, six hundred forty-seven thousand, one hundred fifty-two".