742249267200 has 2040 divisors, whose sum is σ = 3398266282752. Its totient is φ = 156279767040.

The previous prime is 742249267181. The next prime is 742249267273. The reversal of 742249267200 is 2762942247.

It is a happy number.

742249267200 is a `hidden beast` number, since 74 + 22 + 492 + 6 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2040).

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 119 ways as a sum of consecutive naturals, for example, 15792537577 + ... + 15792537623.

Almost surely, 2^742249267200 is an apocalyptic number.

742249267200 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 742249267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699133141376).

742249267200 is an abundant number, since it is smaller than the sum of its proper divisors (2656017015552).

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

742249267200 is an equidigital number, since it uses as much as digits as its factorization.

742249267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 742249267200 in words is "seven hundred forty-two billion, two hundred forty-nine million, two hundred sixty-seven thousand, two hundred".