742120601564160 has 4224 divisors, whose sum is σ = 3391706818805760. Its totient is φ = 151429233770496.

The previous prime is 742120601564141. The next prime is 742120601564171. The reversal of 742120601564160 is 61465106021247.

742120601564160 is a `hidden beast` number, since 7 + 4 + 2 + 1 + 20 + 6 + 0 + 1 + 564 + 1 + 60 = 666.

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 383 ways as a sum of consecutive naturals, for example, 473593235697 + ... + 473593237263.

Almost surely, 2^{742120601564160} is an apocalyptic number.

742120601564160 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 742120601564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695853409402880).

742120601564160 is an abundant number, since it is smaller than the sum of its proper divisors (2649586217241600).

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

742120601564160 is a wasteful number, since it uses less digits than its factorization.

742120601564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 742120601564160 in words is "seven hundred forty-two trillion, one hundred twenty billion, six hundred one million, five hundred sixty-four thousand, one hundred sixty".