4262792780160 has 768 divisors, whose sum is σ = 16600310475840. Its totient is φ = 1040937910272.

The previous prime is 4262792780111. The next prime is 4262792780173. The reversal of 4262792780160 is 610872972624.

4262792780160 is a `hidden beast` number, since 4 + 2 + 627 + 9 + 2 + 7 + 8 + 0 + 1 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4262792780097 and 4262792780106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97800292 + ... + 97843868.

Almost surely, 2^{4262792780160} is an apocalyptic number.

4262792780160 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 4262792780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300155237920).

4262792780160 is an abundant number, since it is smaller than the sum of its proper divisors (12337517695680).

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

4262792780160 is a wasteful number, since it uses less digits than its factorization.

4262792780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43665 (or 43641 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4262792780160 in words is "four trillion, two hundred sixty-two billion, seven hundred ninety-two million, seven hundred eighty thousand, one hundred sixty".