742955037120 has 336 divisors, whose sum is σ = 2650458869760. Its totient is φ = 190816819200.

The previous prime is 742955037073. The next prime is 742955037131. The reversal of 742955037120 is 21730559247.

It is a happy number.

742955037120 is a `hidden beast` number, since 7 + 4 + 2 + 9 + 550 + 3 + 71 + 20 = 666.

It is a super-3 number, since 3×742955037120³ (a number of 37 digits) contains 333 as substring.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18818361 + ... + 18857799.

Almost surely, 2^742955037120 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 742955037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325229434880).

742955037120 is an abundant number, since it is smaller than the sum of its proper divisors (1907503832640).

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

742955037120 is a wasteful number, since it uses less digits than its factorization.

742955037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39704 (or 39691 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 742955037120 in words is "seven hundred forty-two billion, nine hundred fifty-five million, thirty-seven thousand, one hundred twenty".