741878255225952 has 384 divisors, whose sum is σ = 2405650458193920. Its totient is φ = 220886270300160.

The previous prime is 741878255225951. The next prime is 741878255225971. The reversal of 741878255225952 is 259522552878147.

It is a happy number.

741878255225952 is a `hidden beast` number, since 7 + 4 + 1 + 8 + 7 + 8 + 2 + 5 + 5 + 22 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741878255225951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003070763 + ... + 4003256085.

It is an arithmetic number, because the mean of its divisors is an integer number (6264714734880).

Almost surely, 2^{741878255225952} is an apocalyptic number.

741878255225952 is a gapful number since it is divisible by the number (72) 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 741878255225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202825229096960).

741878255225952 is an abundant number, since it is smaller than the sum of its proper divisors (1663772202967968).

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

741878255225952 is a wasteful number, since it uses less digits than its factorization.

741878255225952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196883 (or 196869 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 72.

The spelling of 741878255225952 in words is "seven hundred forty-one trillion, eight hundred seventy-eight billion, two hundred fifty-five million, two hundred twenty-five thousand, nine hundred fifty-two".