742495083120000 has 2880 divisors, whose sum is σ = 3298311076975200. Its totient is φ = 159253807104000.

The previous prime is 742495083119897. The next prime is 742495083120001. The reversal of 742495083120000 is 21380594247.

742495083120000 is a `hidden beast` number, since 74 + 2 + 49 + 508 + 31 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742495083120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 223710478341 + ... + 223710481659.

Almost surely, 2^{742495083120000} is an apocalyptic number.

742495083120000 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 742495083120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649155538487600).

742495083120000 is an abundant number, since it is smaller than the sum of its proper divisors (2555815993855200).

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

742495083120000 is a wasteful number, since it uses less digits than its factorization.

742495083120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 742495083120000 in words is "seven hundred forty-two trillion, four hundred ninety-five billion, eighty-three million, one hundred twenty thousand".