6342617790 has 64 divisors (see below), whose sum is σ = 16950669120. Its totient is φ = 1687662720.

The previous prime is 6342617773. The next prime is 6342617797. The reversal of 6342617790 is 977162436.

6342617790 is a `hidden beast` number, since 634 + 2 + 6 + 1 + 7 + 7 + 9 + 0 = 666.

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 (6342617797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98992 + ... + 149948.

It is an arithmetic number, because the mean of its divisors is an integer number (264854205).

Almost surely, 2^6342617790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6342617790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475334560).

6342617790 is an abundant number, since it is smaller than the sum of its proper divisors (10608051330).

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

6342617790 is a wasteful number, since it uses less digits than its factorization.

6342617790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51434 (or 51428 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6342617790 is about 79640.5536771311. The cubic root of 6342617790 is about 1851.0700203884.

The spelling of 6342617790 in words is "six billion, three hundred forty-two million, six hundred seventeen thousand, seven hundred ninety".