742002442157620 has 192 divisors, whose sum is σ = 1897416760909824. Its totient is φ = 237935066941440.

The previous prime is 742002442157617. The next prime is 742002442157623. The reversal of 742002442157620 is 26751244200247.

It is an interprime number because it is at equal distance from previous prime (742002442157617) and next prime (742002442157623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742002442157623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240314437 + ... + 243382483.

It is an arithmetic number, because the mean of its divisors is an integer number (9882378963072).

Almost surely, 2^{742002442157620} is an apocalyptic number.

742002442157620 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 742002442157620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948708380454912).

742002442157620 is an abundant number, since it is smaller than the sum of its proper divisors (1155414318752204).

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

742002442157620 is a wasteful number, since it uses less digits than its factorization.

742002442157620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068718 (or 3068716 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 46.

Adding to 742002442157620 its reverse (26751244200247), we get a palindrome (768753686357867).

The spelling of 742002442157620 in words is "seven hundred forty-two trillion, two billion, four hundred forty-two million, one hundred fifty-seven thousand, six hundred twenty".