742065408000 has 1536 divisors, whose sum is σ = 3209431680000. Its totient is φ = 169073049600.

The previous prime is 742065407999. The next prime is 742065408011. The reversal of 742065408000 is 804560247.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×742065408000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2370815844 + ... + 2370816156.

It is an arithmetic number, because the mean of its divisors is an integer number (2089473750).

Almost surely, 2^742065408000 is an apocalyptic number.

742065408000 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 742065408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604715840000).

742065408000 is an abundant number, since it is smaller than the sum of its proper divisors (2467366272000).

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

742065408000 is an equidigital number, since it uses as much as digits as its factorization.

742065408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 742065408000 its reverse (804560247), we get a palindrome (742869968247).

The spelling of 742065408000 in words is "seven hundred forty-two billion, sixty-five million, four hundred eight thousand".