3262786375680 has 1040 divisors, whose sum is σ = 13260589446720. Its totient is φ = 760780947456.

The previous prime is 3262786375631. The next prime is 3262786375747. The reversal of 3262786375680 is 865736872623.

3262786375680 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 7 + 8 + 63 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 409739379 + ... + 409747341.

Almost surely, 2^{3262786375680} is an apocalyptic number.

3262786375680 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 3262786375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630294723360).

3262786375680 is an abundant number, since it is smaller than the sum of its proper divisors (9997803071040).

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

3262786375680 is a wasteful number, since it uses less digits than its factorization.

3262786375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8036 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 3262786375680 in words is "three trillion, two hundred sixty-two billion, seven hundred eighty-six million, three hundred seventy-five thousand, six hundred eighty".