64874030846400 has 1344 divisors, whose sum is σ = 251342615424000. Its totient is φ = 16242259968000.

The previous prime is 64874030846381. The next prime is 64874030846407. The reversal of 64874030846400 is 464803047846.

64874030846400 is a `hidden beast` number, since 6 + 487 + 40 + 3 + 0 + 84 + 6 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64874030846407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41881232826 + ... + 41881234374.

Almost surely, 2^{64874030846400} is an apocalyptic number.

64874030846400 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 64874030846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125671307712000).

64874030846400 is an abundant number, since it is smaller than the sum of its proper divisors (186468584577600).

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

64874030846400 is a wasteful number, since it uses less digits than its factorization.

64874030846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 64874030846400 in words is "sixty-four trillion, eight hundred seventy-four billion, thirty million, eight hundred forty-six thousand, four hundred".