64714262472000 has 560 divisors, whose sum is σ = 241778638118160. Its totient is φ = 17086256640000.

The previous prime is 64714262471941. The next prime is 64714262472007. The reversal of 64714262472000 is 27426241746.

64714262472000 is a `hidden beast` number, since 6 + 4 + 7 + 14 + 2 + 624 + 7 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 327889083456 + 64386373388544 = 572616^2 + 8024112^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64714262472007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64953606 + ... + 65942394.

Almost surely, 2^{64714262472000} is an apocalyptic number.

64714262472000 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 64714262472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120889319059080).

64714262472000 is an abundant number, since it is smaller than the sum of its proper divisors (177064375646160).

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

64714262472000 is a wasteful number, since it uses less digits than its factorization.

64714262472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988929 (or 988900 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 64714262472000 in words is "sixty-four trillion, seven hundred fourteen billion, two hundred sixty-two million, four hundred seventy-two thousand".