742037520240 has 800 divisors, whose sum is σ = 2737881907200. Its totient is φ = 185890940928.

The previous prime is 742037520229. The next prime is 742037520307. The reversal of 742037520240 is 42025730247.

It is a happy number.

742037520240 is a `hidden beast` number, since 7 + 4 + 20 + 375 + 20 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 742037520195 and 742037520204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3728831661 + ... + 3728831859.

It is an arithmetic number, because the mean of its divisors is an integer number (3422352384).

Almost surely, 2^742037520240 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 742037520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368940953600).

742037520240 is an abundant number, since it is smaller than the sum of its proper divisors (1995844386960).

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

742037520240 is a wasteful number, since it uses less digits than its factorization.

742037520240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 742037520240 in words is "seven hundred forty-two billion, thirty-seven million, five hundred twenty thousand, two hundred forty".