742706477500 has 240 divisors, whose sum is σ = 1780991500288. Its totient is φ = 269275104000.

The previous prime is 742706477407. The next prime is 742706477501. The reversal of 742706477500 is 5774607247.

It is a happy number.

It is a super-2 number, since 2×742706477500² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742706477501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 425131627 + ... + 425133373.

Almost surely, 2^742706477500 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 742706477500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890495750144).

742706477500 is an abundant number, since it is smaller than the sum of its proper divisors (1038285022788).

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

742706477500 is a wasteful number, since it uses less digits than its factorization.

742706477500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 49.

The spelling of 742706477500 in words is "seven hundred forty-two billion, seven hundred six million, four hundred seventy-seven thousand, five hundred".