642120190147800 has 576 divisors, whose sum is σ = 2654588622329280. Its totient is φ = 135455197777920.

The previous prime is 642120190147789. The next prime is 642120190147801. The reversal of 642120190147800 is 8741091021246.

642120190147800 is a `hidden beast` number, since 6 + 42 + 120 + 19 + 0 + 1 + 478 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642120190147801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 890220094 + ... + 890941106.

It is an arithmetic number, because the mean of its divisors is an integer number (4608660802655).

Almost surely, 2^{642120190147800} is an apocalyptic number.

642120190147800 is a gapful number since it is divisible by the number (60) 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 642120190147800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327294311164640).

642120190147800 is an abundant number, since it is smaller than the sum of its proper divisors (2012468432181480).

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

642120190147800 is a wasteful number, since it uses less digits than its factorization.

642120190147800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726492 (or 726480 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 642120190147800 in words is "six hundred forty-two trillion, one hundred twenty billion, one hundred ninety million, one hundred forty-seven thousand, eight hundred".