64495022054400 has 3168 divisors, whose sum is σ = 283548667723776. Its totient is φ = 13695713280000.

The previous prime is 64495022054317. The next prime is 64495022054429. The reversal of 64495022054400 is 445022059446.

It is a happy number.

64495022054400 is a `hidden beast` number, since 64 + 49 + 5 + 0 + 2 + 2 + 0 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 149640422185 + ... + 149640422615.

Almost surely, 2^{64495022054400} is an apocalyptic number.

64495022054400 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 64495022054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141774333861888).

64495022054400 is an abundant number, since it is smaller than the sum of its proper divisors (219053645669376).

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

64495022054400 is a wasteful number, since it uses less digits than its factorization.

64495022054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 64495022054400 in words is "sixty-four trillion, four hundred ninety-five billion, twenty-two million, fifty-four thousand, four hundred".