742815847620 has 672 divisors, whose sum is σ = 3087509757696. Its totient is φ = 145268121600.

The previous prime is 742815847601. The next prime is 742815847621. The reversal of 742815847620 is 26748518247.

742815847620 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 1 + 5 + 8 + 4 + 7 + 620 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (742815847621) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 19065760 + ... + 19104680.

It is an arithmetic number, because the mean of its divisors is an integer number (4594508568).

Almost surely, 2^742815847620 is an apocalyptic number.

742815847620 is a gapful number since it is divisible by the number (70) 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 742815847620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543754878848).

742815847620 is an abundant number, since it is smaller than the sum of its proper divisors (2344693910076).

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

742815847620 is a wasteful number, since it uses less digits than its factorization.

742815847620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38983 (or 38966 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 742815847620 in words is "seven hundred forty-two billion, eight hundred fifteen million, eight hundred forty-seven thousand, six hundred twenty".