67064760400 has 120 divisors (see below), whose sum is σ = 176693119488. Its totient is φ = 24259200000.

The previous prime is 67064760359. The next prime is 67064760401. The reversal of 67064760400 is 406746076.

67064760400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67064760401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800500 + ... + 880300.

Almost surely, 2^67064760400 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 67064760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88346559744).

67064760400 is an abundant number, since it is smaller than the sum of its proper divisors (109628359088).

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

67064760400 is a wasteful number, since it uses less digits than its factorization.

67064760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80021 (or 80010 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 67064760400 in words is "sixty-seven billion, sixty-four million, seven hundred sixty thousand, four hundred".