7820407848638 has 64 divisors (see below), whose sum is σ = 15019798118400. Its totient is φ = 2965424051040.

The previous prime is 7820407848637. The next prime is 7820407848641. The reversal of 7820407848638 is 8368487040287.

It is a super-2 number, since 2×7820407848638² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7820407848637) 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, 1722458 + ... + 4313661.

It is an arithmetic number, because the mean of its divisors is an integer number (234684345600).

Almost surely, 2^{7820407848638} is an apocalyptic number.

7820407848638 is a deficient number, since it is larger than the sum of its proper divisors (7199390269762).

7820407848638 is a wasteful number, since it uses less digits than its factorization.

7820407848638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036365.

The product of its (nonzero) digits is 115605504, while the sum is 65.

The spelling of 7820407848638 in words is "seven trillion, eight hundred twenty billion, four hundred seven million, eight hundred forty-eight thousand, six hundred thirty-eight".