6770161440 has 480 divisors, whose sum is σ = 27881884800. Its totient is φ = 1546449408.

The previous prime is 6770161427. The next prime is 6770161451. The reversal of 6770161440 is 441610776.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6770161395 and 6770161404.

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, 4444519 + ... + 4446041.

It is an arithmetic number, because the mean of its divisors is an integer number (58087260).

Almost surely, 2^6770161440 is an apocalyptic number.

6770161440 is a gapful number since it is divisible by the number (60) 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 6770161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13940942400).

6770161440 is an abundant number, since it is smaller than the sum of its proper divisors (21111723360).

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

6770161440 is a wasteful number, since it uses less digits than its factorization.

6770161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6770161440 is about 82280.9907572825. The cubic root of 6770161440 is about 1891.7613210500.

The spelling of 6770161440 in words is "six billion, seven hundred seventy million, one hundred sixty-one thousand, four hundred forty".