742077120960 has 1008 divisors, whose sum is σ = 3091753735200. Its totient is φ = 162693070848.

The previous prime is 742077120959. The next prime is 742077120979. The reversal of 742077120960 is 69021770247.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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, 732553414 + ... + 732554426.

Almost surely, 2^742077120960 is an apocalyptic number.

742077120960 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 742077120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545876867600).

742077120960 is an abundant number, since it is smaller than the sum of its proper divisors (2349676614240).

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

742077120960 is a wasteful number, since it uses less digits than its factorization.

742077120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 742077120960 in words is "seven hundred forty-two billion, seventy-seven million, one hundred twenty thousand, nine hundred sixty".