653681508480 has 4608 divisors, whose sum is σ = 3522229401600. Its totient is φ = 111795240960.

The previous prime is 653681508479. The next prime is 653681508511. The reversal of 653681508480 is 84805186356.

653681508480 is a `hidden beast` number, since 6 + 5 + 3 + 6 + 8 + 150 + 8 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34404289911 + ... + 34404289929.

It is an arithmetic number, because the mean of its divisors is an integer number (764372700).

Almost surely, 2^653681508480 is an apocalyptic number.

653681508480 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 653681508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761114700800).

653681508480 is an abundant number, since it is smaller than the sum of its proper divisors (2868547893120).

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

653681508480 is a wasteful number, since it uses less digits than its factorization.

653681508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 653681508480 in words is "six hundred fifty-three billion, six hundred eighty-one million, five hundred eight thousand, four hundred eighty".