742875612600 has 384 divisors, whose sum is σ = 2536584076800. Its totient is φ = 178356172800.

The previous prime is 742875612581. The next prime is 742875612601. The reversal of 742875612600 is 6216578247.

It is a self number, because there is not a number n which added to its sum of digits gives 742875612600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742875612601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371994802 + ... + 371996798.

It is an arithmetic number, because the mean of its divisors is an integer number (6605687700).

Almost surely, 2^742875612600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742875612600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268292038400).

742875612600 is an abundant number, since it is smaller than the sum of its proper divisors (1793708464200).

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

742875612600 is a wasteful number, since it uses less digits than its factorization.

742875612600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 742875612600 in words is "seven hundred forty-two billion, eight hundred seventy-five million, six hundred twelve thousand, six hundred".