42620795743968 has 72 divisors (see below), whose sum is σ = 130526186977368. Its totient is φ = 13114090996992.

The previous prime is 42620795743961. The next prime is 42620795744029. The reversal of 42620795743968 is 86934759702624.

42620795743968 is a `hidden beast` number, since 4 + 2 + 62 + 0 + 79 + 5 + 7 + 439 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42620795743896 and 42620795743905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42620795743961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5691876030 + ... + 5691883517.

It is an arithmetic number, because the mean of its divisors is an integer number (1812863708019).

Almost surely, 2^{42620795743968} is an apocalyptic number.

42620795743968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42620795743968 is an abundant number, since it is smaller than the sum of its proper divisors (87905391233400).

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

42620795743968 is a wasteful number, since it uses less digits than its factorization.

42620795743968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11383759576 (or 11383759565 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 42620795743968 in words is "forty-two trillion, six hundred twenty billion, seven hundred ninety-five million, seven hundred forty-three thousand, nine hundred sixty-eight".