648616405474800 has 1920 divisors, whose sum is σ = 2818751622635520. Its totient is φ = 138280620441600.

The previous prime is 648616405474781. The next prime is 648616405474841. The reversal of 648616405474800 is 8474504616846.

648616405474800 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 1 + 6 + 4 + 0 + 547 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 148662937419 + ... + 148662941781.

It is an arithmetic number, because the mean of its divisors is an integer number (1468099803456).

Almost surely, 2^{648616405474800} is an apocalyptic number.

648616405474800 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 648616405474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409375811317760).

648616405474800 is an abundant number, since it is smaller than the sum of its proper divisors (2170135217160720).

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

648616405474800 is a wasteful number, since it uses less digits than its factorization.

648616405474800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 648616405474800 in words is "six hundred forty-eight trillion, six hundred sixteen billion, four hundred five million, four hundred seventy-four thousand, eight hundred".