4642764126000 has 640 divisors, whose sum is σ = 20097285691392. Its totient is φ = 890519040000.

The previous prime is 4642764125999. The next prime is 4642764126019. The reversal of 4642764126000 is 6214672464.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5619490 + ... + 6392510.

Almost surely, 2^{4642764126000} is an apocalyptic number.

4642764126000 is a gapful number since it is divisible by the number (40) 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 4642764126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048642845696).

4642764126000 is an abundant number, since it is smaller than the sum of its proper divisors (15454521565392).

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

4642764126000 is a wasteful number, since it uses less digits than its factorization.

4642764126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773078 (or 773062 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

Adding to 4642764126000 its reverse (6214672464), we get a palindrome (4648978798464).

The spelling of 4642764126000 in words is "four trillion, six hundred forty-two billion, seven hundred sixty-four million, one hundred twenty-six thousand".