742202772480 has 1056 divisors, whose sum is σ = 2923589200896. Its totient is φ = 172725239808.

The previous prime is 742202772473. The next prime is 742202772617. The reversal of 742202772480 is 84277202247.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1419125499 + ... + 1419126021.

Almost surely, 2^742202772480 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 742202772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461794600448).

742202772480 is an abundant number, since it is smaller than the sum of its proper divisors (2181386428416).

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

742202772480 is a wasteful number, since it uses less digits than its factorization.

742202772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 742202772480 in words is "seven hundred forty-two billion, two hundred two million, seven hundred seventy-two thousand, four hundred eighty".