553073463936 has 640 divisors, whose sum is σ = 1914131640960. Its totient is φ = 155271168000.

The previous prime is 553073463919. The next prime is 553073463959. The reversal of 553073463936 is 639364370355.

553073463936 is a `hidden beast` number, since 5 + 530 + 7 + 3 + 46 + 39 + 36 = 666.

It is a super-2 number, since 2×553073463936² (a number of 24 digits) contains 22 as substring.

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, 1767007716 + ... + 1767008028.

It is an arithmetic number, because the mean of its divisors is an integer number (2990830689).

Almost surely, 2^553073463936 is an apocalyptic number.

553073463936 is a gapful number since it is divisible by the number (56) 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 553073463936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957065820480).

553073463936 is an abundant number, since it is smaller than the sum of its proper divisors (1361058177024).

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

553073463936 is a wasteful number, since it uses less digits than its factorization.

553073463936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 54.

The spelling of 553073463936 in words is "five hundred fifty-three billion, seventy-three million, four hundred sixty-three thousand, nine hundred thirty-six".