2797675077960 has 384 divisors, whose sum is σ = 11012729068800. Its totient is φ = 618838963200.

The previous prime is 2797675077917. The next prime is 2797675077971. The reversal of 2797675077960 is 697705767972.

2797675077960 is a `hidden beast` number, since 27 + 9 + 7 + 6 + 7 + 507 + 7 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7072620 + ... + 7457700.

It is an arithmetic number, because the mean of its divisors is an integer number (28678981950).

Almost surely, 2^{2797675077960} is an apocalyptic number.

2797675077960 is a gapful number since it is divisible by the number (20) 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 2797675077960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506364534400).

2797675077960 is an abundant number, since it is smaller than the sum of its proper divisors (8215053990840).

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

2797675077960 is a wasteful number, since it uses less digits than its factorization.

2797675077960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385170 (or 385129 counting only the distinct ones).

The product of its (nonzero) digits is 490092120, while the sum is 72.

The spelling of 2797675077960 in words is "two trillion, seven hundred ninety-seven billion, six hundred seventy-five million, seventy-seven thousand, nine hundred sixty".