742872453120 has 1664 divisors, whose sum is σ = 3212780175360. Its totient is φ = 159252480000.

The previous prime is 742872453109. The next prime is 742872453121. The reversal of 742872453120 is 21354278247.

742872453120 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 72 + 453 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (742872453121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4919685045 + ... + 4919685195.

Almost surely, 2^742872453120 is an apocalyptic number.

742872453120 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 742872453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606390087680).

742872453120 is an abundant number, since it is smaller than the sum of its proper divisors (2469907722240).

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

742872453120 is a wasteful number, since it uses less digits than its factorization.

742872453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 742872453120 in words is "seven hundred forty-two billion, eight hundred seventy-two million, four hundred fifty-three thousand, one hundred twenty".