742362776064 has 2880 divisors, whose sum is σ = 3209250844800. Its totient is φ = 168552824832.

The previous prime is 742362776039. The next prime is 742362776069. The reversal of 742362776064 is 460677263247.

742362776064 is a `hidden beast` number, since 7 + 4 + 2 + 3 + 6 + 27 + 7 + 606 + 4 = 666.

It is a super-2 number, since 2×742362776064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 742362776064.

It is not an unprimeable number, because it can be changed into a prime (742362776069) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25598716402 + ... + 25598716430.

It is an arithmetic number, because the mean of its divisors is an integer number (1114323210).

Almost surely, 2^742362776064 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 742362776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604625422400).

742362776064 is an abundant number, since it is smaller than the sum of its proper divisors (2466888068736).

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

742362776064 is a wasteful number, since it uses less digits than its factorization.

742362776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 742362776064 in words is "seven hundred forty-two billion, three hundred sixty-two million, seven hundred seventy-six thousand, sixty-four".