742491624420 has 1152 divisors, whose sum is σ = 2963427876864. Its totient is φ = 146229608448.

The previous prime is 742491624353. The next prime is 742491624421. The reversal of 742491624420 is 24426194247.

742491624420 is a `hidden beast` number, since 7 + 4 + 2 + 49 + 162 + 442 + 0 = 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 (742491624421) 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, 4555163259 + ... + 4555163421.

It is an arithmetic number, because the mean of its divisors is an integer number (2572420032).

Almost surely, 2^742491624420 is an apocalyptic number.

742491624420 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 742491624420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481713938432).

742491624420 is an abundant number, since it is smaller than the sum of its proper divisors (2220936252444).

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

742491624420 is a wasteful number, since it uses less digits than its factorization.

742491624420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 742491624420 in words is "seven hundred forty-two billion, four hundred ninety-one million, six hundred twenty-four thousand, four hundred twenty".