3772264798080 has 1024 divisors, whose sum is σ = 14145601536000. Its totient is φ = 948210278400.

The previous prime is 3772264798067. The next prime is 3772264798121. The reversal of 3772264798080 is 808974622773.

3772264798080 is a `hidden beast` number, since 3 + 7 + 7 + 2 + 2 + 6 + 479 + 80 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3772264797999 and 3772264798017.

It is a congruent number.

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, 14343212029 + ... + 14343212291.

It is an arithmetic number, because the mean of its divisors is an integer number (13814064000).

Almost surely, 2^{3772264798080} is an apocalyptic number.

3772264798080 is a gapful number since it is divisible by the number (30) 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 3772264798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072800768000).

3772264798080 is an abundant number, since it is smaller than the sum of its proper divisors (10373336737920).

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

3772264798080 is a wasteful number, since it uses less digits than its factorization.

3772264798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 3772264798080 in words is "three trillion, seven hundred seventy-two billion, two hundred sixty-four million, seven hundred ninety-eight thousand, eighty".