2675021424768 has 1024 divisors, whose sum is σ = 10143023616000. Its totient is φ = 673876869120.

The previous prime is 2675021424743. The next prime is 2675021424773. The reversal of 2675021424768 is 8674241205762.

2675021424768 is a `hidden beast` number, since 2 + 67 + 50 + 21 + 42 + 476 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1796521368 + ... + 1796522856.

It is an arithmetic number, because the mean of its divisors is an integer number (9905296500).

Almost surely, 2^{2675021424768} is an apocalyptic number.

2675021424768 is a gapful number since it is divisible by the number (28) 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 2675021424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071511808000).

2675021424768 is an abundant number, since it is smaller than the sum of its proper divisors (7468002191232).

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

2675021424768 is a wasteful number, since it uses less digits than its factorization.

2675021424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 2675021424768 in words is "two trillion, six hundred seventy-five billion, twenty-one million, four hundred twenty-four thousand, seven hundred sixty-eight".