740478164400 has 1440 divisors, whose sum is σ = 3079431475200. Its totient is φ = 168426086400.

The previous prime is 740478164383. The next prime is 740478164429. The reversal of 740478164400 is 4461874047.

It is a happy number.

740478164400 is a `hidden beast` number, since 7 + 40 + 47 + 8 + 164 + 400 = 666.

740478164400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1301367316 + ... + 1301367884.

It is an arithmetic number, because the mean of its divisors is an integer number (2138494080).

Almost surely, 2^740478164400 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 740478164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539715737600).

740478164400 is an abundant number, since it is smaller than the sum of its proper divisors (2338953310800).

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

740478164400 is a wasteful number, since it uses less digits than its factorization.

740478164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 740478164400 in words is "seven hundred forty billion, four hundred seventy-eight million, one hundred sixty-four thousand, four hundred".