74237721075648 has 560 divisors, whose sum is σ = 238545014400000. Its totient is φ = 22693031995392.

The previous prime is 74237721075619. The next prime is 74237721075653. The reversal of 74237721075648 is 84657012773247.

74237721075648 is a `hidden beast` number, since 7 + 4 + 2 + 377 + 210 + 7 + 5 + 6 + 48 = 666.

It is a super-2 number, since 2×74237721075648² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9642510903 + ... + 9642518601.

It is an arithmetic number, because the mean of its divisors is an integer number (425973240000).

Almost surely, 2^{74237721075648} is an apocalyptic number.

74237721075648 is a gapful number since it is divisible by the number (78) 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 74237721075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119272507200000).

74237721075648 is an abundant number, since it is smaller than the sum of its proper divisors (164307293324352).

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

74237721075648 is a wasteful number, since it uses less digits than its factorization.

74237721075648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654 (or 8635 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 74237721075648 in words is "seventy-four trillion, two hundred thirty-seven billion, seven hundred twenty-one million, seventy-five thousand, six hundred forty-eight".