6770582640 has 240 divisors, whose sum is σ = 24219887328. Its totient is φ = 1756505088.

The previous prime is 6770582629. The next prime is 6770582641. The reversal of 6770582640 is 462850776.

6770582640 is a `hidden beast` number, since 6 + 7 + 7 + 0 + 582 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6770582641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714574 + ... + 723986.

Almost surely, 2^6770582640 is an apocalyptic number.

6770582640 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 6770582640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109943664).

6770582640 is an abundant number, since it is smaller than the sum of its proper divisors (17449304688).

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

6770582640 is a wasteful number, since it uses less digits than its factorization.

6770582640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9478 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6770582640 is about 82283.5502394008. The cubic root of 6770582640 is about 1891.8005516923.

The spelling of 6770582640 in words is "six billion, seven hundred seventy million, five hundred eighty-two thousand, six hundred forty".