74661229440 has 384 divisors, whose sum is σ = 307600135200. Its totient is φ = 17065230336.

The previous prime is 74661229439. The next prime is 74661229463. The reversal of 74661229440 is 4492216647.

74661229440 is a `hidden beast` number, since 7 + 4 + 6 + 612 + 29 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802632 + ... + 890808.

Almost surely, 2^74661229440 is an apocalyptic number.

74661229440 is a gapful number since it is divisible by the number (70) 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 74661229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153800067600).

74661229440 is an abundant number, since it is smaller than the sum of its proper divisors (232938905760).

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

74661229440 is a wasteful number, since it uses less digits than its factorization.

74661229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88219 (or 88194 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 74661229440 in words is "seventy-four billion, six hundred sixty-one million, two hundred twenty-nine thousand, four hundred forty".