741535746120 has 384 divisors, whose sum is σ = 2634153631200. Its totient is φ = 180894744576.

The previous prime is 741535746041. The next prime is 741535746131. The reversal of 741535746120 is 21647535147.

741535746120 is a `hidden beast` number, since 7 + 4 + 1 + 53 + 574 + 6 + 1 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 260363226564 + 481172519556 = 510258^2 + 693666^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 89369812 + ... + 89378108.

Almost surely, 2^741535746120 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 741535746120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317076815600).

741535746120 is an abundant number, since it is smaller than the sum of its proper divisors (1892617885080).

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

741535746120 is a wasteful number, since it uses less digits than its factorization.

741535746120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8466 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 741535746120 in words is "seven hundred forty-one billion, five hundred thirty-five million, seven hundred forty-six thousand, one hundred twenty".