6790742460 has 192 divisors, whose sum is σ = 22007946240. Its totient is φ = 1736743680.

The previous prime is 6790742459. The next prime is 6790742471. The reversal of 6790742460 is 642470976.

6790742460 is a `hidden beast` number, since 67 + 90 + 7 + 42 + 460 = 666.

It is a super-2 number, since 2×6790742460² = 92228366316093703200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1416187 + ... + 1420973.

It is an arithmetic number, because the mean of its divisors is an integer number (114624720).

Almost surely, 2^6790742460 is an apocalyptic number.

6790742460 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 6790742460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11003973120).

6790742460 is an abundant number, since it is smaller than the sum of its proper divisors (15217203780).

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

6790742460 is a wasteful number, since it uses less digits than its factorization.

6790742460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6790742460 is about 82405.9613134875. The cubic root of 6790742460 is about 1893.6763414150.

The spelling of 6790742460 in words is "six billion, seven hundred ninety million, seven hundred forty-two thousand, four hundred sixty".