4642003537920 has 2496 divisors, whose sum is σ = 20653586841600. Its totient is φ = 983224811520.

The previous prime is 4642003537909. The next prime is 4642003537933. The reversal of 4642003537920 is 297353002464.

4642003537920 is a `hidden beast` number, since 4 + 6 + 4 + 20 + 0 + 3 + 537 + 92 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 36551208897 + ... + 36551209023.

Almost surely, 2^{4642003537920} is an apocalyptic number.

4642003537920 is a gapful number since it is divisible by the number (40) 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 4642003537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10326793420800).

4642003537920 is an abundant number, since it is smaller than the sum of its proper divisors (16011583303680).

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

4642003537920 is a wasteful number, since it uses less digits than its factorization.

4642003537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 4642003537920 in words is "four trillion, six hundred forty-two billion, three million, five hundred thirty-seven thousand, nine hundred twenty".