742802094720 has 576 divisors, whose sum is σ = 2980861153920. Its totient is φ = 166966272000.

The previous prime is 742802094709. The next prime is 742802094731. The reversal of 742802094720 is 27490208247.

It is an interprime number because it is at equal distance from previous prime (742802094709) and next prime (742802094731).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150028245 + ... + 150033195.

It is an arithmetic number, because the mean of its divisors is an integer number (5175106170).

Almost surely, 2^742802094720 is an apocalyptic number.

742802094720 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 742802094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490430576960).

742802094720 is an abundant number, since it is smaller than the sum of its proper divisors (2238059059200).

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

742802094720 is a wasteful number, since it uses less digits than its factorization.

742802094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 742802094720 in words is "seven hundred forty-two billion, eight hundred two million, ninety-four thousand, seven hundred twenty".