4526368801920 has 640 divisors, whose sum is σ = 18484267824000. Its totient is φ = 1034006446080.

The previous prime is 4526368801909. The next prime is 4526368801937. The reversal of 4526368801920 is 291088636254.

4526368801920 is a `hidden beast` number, since 4 + 526 + 3 + 6 + 8 + 80 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1106419075 + ... + 1106423165.

It is an arithmetic number, because the mean of its divisors is an integer number (28881668475).

Almost surely, 2^{4526368801920} is an apocalyptic number.

4526368801920 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 4526368801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9242133912000).

4526368801920 is an abundant number, since it is smaller than the sum of its proper divisors (13957899022080).

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

4526368801920 is a wasteful number, since it uses less digits than its factorization.

4526368801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7178 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4526368801920 in words is "four trillion, five hundred twenty-six billion, three hundred sixty-eight million, eight hundred one thousand, nine hundred twenty".