246927729642 has 64 divisors (see below), whose sum is σ = 557895720960. Its totient is φ = 72172900800.

The previous prime is 246927729593. The next prime is 246927729649.

246927729642 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (246927729649) 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, 1831683 + ... + 1961865.

It is an arithmetic number, because the mean of its divisors is an integer number (8717120640).

Almost surely, 2^246927729642 is an apocalyptic number.

246927729642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 246927729642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278947860480).

246927729642 is an abundant number, since it is smaller than the sum of its proper divisors (310967991318).

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

246927729642 is a wasteful number, since it uses less digits than its factorization.

246927729642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131219.

The product of its digits is 36578304, while the sum is 60.

The spelling of 246927729642 in words is "two hundred forty-six billion, nine hundred twenty-seven million, seven hundred twenty-nine thousand, six hundred forty-two".