741778257000 has 256 divisors, whose sum is σ = 2592984026880. Its totient is φ = 174964608000.

The previous prime is 741778256987. The next prime is 741778257007. The reversal of 741778257000 is 752877147.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (741778257007) 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, 917242 + ... + 1524758.

It is an arithmetic number, because the mean of its divisors is an integer number (10128843855).

Almost surely, 2^741778257000 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 741778257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296492013440).

741778257000 is an abundant number, since it is smaller than the sum of its proper divisors (1851205769880).

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

741778257000 is a wasteful number, since it uses less digits than its factorization.

741778257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607589 (or 607575 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 48.

The spelling of 741778257000 in words is "seven hundred forty-one billion, seven hundred seventy-eight million, two hundred fifty-seven thousand".