742066790400 has 2016 divisors, whose sum is σ = 3147154902528. Its totient is φ = 171992678400.

The previous prime is 742066790347. The next prime is 742066790419. The reversal of 742066790400 is 4097660247.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20055859182 + ... + 20055859218.

Almost surely, 2^742066790400 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 742066790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573577451264).

742066790400 is an abundant number, since it is smaller than the sum of its proper divisors (2405088112128).

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

742066790400 is a wasteful number, since it uses less digits than its factorization.

742066790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 742066790400 in words is "seven hundred forty-two billion, sixty-six million, seven hundred ninety thousand, four hundred".