653793978240 has 384 divisors, whose sum is σ = 2497017650400. Its totient is φ = 156583673856.

The previous prime is 653793978223. The next prime is 653793978241. The reversal of 653793978240 is 42879397356.

653793978240 is a `hidden beast` number, since 6 + 537 + 9 + 3 + 9 + 78 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653793978241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2652571 + ... + 2888549.

Almost surely, 2^653793978240 is an apocalyptic number.

653793978240 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 653793978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248508825200).

653793978240 is an abundant number, since it is smaller than the sum of its proper divisors (1843223672160).

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

653793978240 is a wasteful number, since it uses less digits than its factorization.

653793978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236054 (or 236039 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 653793978240 in words is "six hundred fifty-three billion, seven hundred ninety-three million, nine hundred seventy-eight thousand, two hundred forty".