741387964800 has 768 divisors, whose sum is σ = 3032605900800. Its totient is φ = 155354112000.

The previous prime is 741387964777. The next prime is 741387964813. The reversal of 741387964800 is 8469783147.

It is a super-2 number, since 2×741387964800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 39571435 + ... + 39590165.

It is an arithmetic number, because the mean of its divisors is an integer number (3948705600).

Almost surely, 2^741387964800 is an apocalyptic number.

741387964800 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 741387964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516302950400).

741387964800 is an abundant number, since it is smaller than the sum of its proper divisors (2291217936000).

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

741387964800 is a wasteful number, since it uses less digits than its factorization.

741387964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18815 (or 18798 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 741387964800 in words is "seven hundred forty-one billion, three hundred eighty-seven million, nine hundred sixty-four thousand, eight hundred".