67355753920 has 896 divisors, whose sum is σ = 222850252800. Its totient is φ = 18787811328.

The previous prime is 67355753903. The next prime is 67355753921. The reversal of 67355753920 is 2935755376.

It is a super-2 number, since 2×67355753920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67355753921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 852604441 + ... + 852604519.

It is an arithmetic number, because the mean of its divisors is an integer number (248716800).

Almost surely, 2^67355753920 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 67355753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111425126400).

67355753920 is an abundant number, since it is smaller than the sum of its proper divisors (155494498880).

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

67355753920 is a wasteful number, since it uses less digits than its factorization.

67355753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 52.

The spelling of 67355753920 in words is "sixty-seven billion, three hundred fifty-five million, seven hundred fifty-three thousand, nine hundred twenty".