741732526080 has 1920 divisors, whose sum is σ = 3388329584640. Its totient is φ = 150971351040.

The previous prime is 741732526009. The next prime is 741732526151. The reversal of 741732526080 is 80625237147.

741732526080 is a `hidden beast` number, since 7 + 4 + 1 + 7 + 32 + 5 + 2 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (741732526009) and next prime (741732526151).

It is a tau number, because it is divible by the number of its divisors (1920).

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

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, 2339850082 + ... + 2339850398.

It is an arithmetic number, because the mean of its divisors is an integer number (1764754992).

Almost surely, 2^741732526080 is an apocalyptic number.

741732526080 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 741732526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694164792320).

741732526080 is an abundant number, since it is smaller than the sum of its proper divisors (2646597058560).

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

741732526080 is a wasteful number, since it uses less digits than its factorization.

741732526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 741732526080 in words is "seven hundred forty-one billion, seven hundred thirty-two million, five hundred twenty-six thousand, eighty".