64786400 has 144 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 21204480.

The previous prime is 64786391. The next prime is 64786411. The reversal of 64786400 is 468746.

64786400 = T₄₂₅ + T₄₂₆ + ... + T₇₇₄.

It is a Cunningham number, because it is equal to 8049²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128549 + ... + 129051.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^64786400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

64786400 is an abundant number, since it is smaller than the sum of its proper divisors (124201504).

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

64786400 is a wasteful number, since it uses less digits than its factorization.

64786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 64786400 is about 8048.9999378805. Note that the first 4 decimals coincide. The cubic root of 64786400 is about 401.6316684286.

The spelling of 64786400 in words is "sixty-four million, seven hundred eighty-six thousand, four hundred".