742983575400 has 1536 divisors, whose sum is σ = 3080117145600. Its totient is φ = 162570240000.

The previous prime is 742983575387. The next prime is 742983575407. The reversal of 742983575400 is 4575389247.

It is a happy number.

742983575400 is a `hidden beast` number, since 7 + 4 + 2 + 98 + 3 + 5 + 7 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (742983575407) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3082919280 + ... + 3082919520.

It is an arithmetic number, because the mean of its divisors is an integer number (2005284600).

Almost surely, 2^742983575400 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 742983575400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540058572800).

742983575400 is an abundant number, since it is smaller than the sum of its proper divisors (2337133570200).

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

742983575400 is a wasteful number, since it uses less digits than its factorization.

742983575400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 742983575400 in words is "seven hundred forty-two billion, nine hundred eighty-three million, five hundred seventy-five thousand, four hundred".