742407545088 has 360 divisors, whose sum is σ = 2557043264160. Its totient is φ = 211737231360.

The previous prime is 742407545063. The next prime is 742407545101. The reversal of 742407545088 is 880545704247.

742407545088 is a `hidden beast` number, since 7 + 4 + 2 + 40 + 75 + 450 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3781903 + ... + 3973361.

It is an arithmetic number, because the mean of its divisors is an integer number (7102897956).

Almost surely, 2^742407545088 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 742407545088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278521632080).

742407545088 is an abundant number, since it is smaller than the sum of its proper divisors (1814635719072).

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

742407545088 is a wasteful number, since it uses less digits than its factorization.

742407545088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191515 (or 191492 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 742407545088 in words is "seven hundred forty-two billion, four hundred seven million, five hundred forty-five thousand, eighty-eight".