64820248358400 has 960 divisors, whose sum is σ = 240477294182400. Its totient is φ = 17100252610560.

The previous prime is 64820248358387. The next prime is 64820248358483. The reversal of 64820248358400 is 485384202846.

64820248358400 is a `hidden beast` number, since 6 + 4 + 8 + 2 + 0 + 248 + 358 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 40947724009 + ... + 40947725591.

It is an arithmetic number, because the mean of its divisors is an integer number (250497181440).

Almost surely, 2^{64820248358400} is an apocalyptic number.

64820248358400 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 64820248358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120238647091200).

64820248358400 is an abundant number, since it is smaller than the sum of its proper divisors (175657045824000).

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

64820248358400 is a wasteful number, since it uses less digits than its factorization.

64820248358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 64820248358400 in words is "sixty-four trillion, eight hundred twenty billion, two hundred forty-eight million, three hundred fifty-eight thousand, four hundred".