74996801460 has 288 divisors, whose sum is σ = 275634358272. Its totient is φ = 16140487680.

The previous prime is 74996801441. The next prime is 74996801461. The reversal of 74996801460 is 6410869947.

74996801460 is a `hidden beast` number, since 7 + 499 + 6 + 8 + 0 + 146 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74996801397 and 74996801406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74996801461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1419274 + ... + 1471166.

It is an arithmetic number, because the mean of its divisors is an integer number (957063744).

Almost surely, 2^74996801460 is an apocalyptic number.

74996801460 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 74996801460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137817179136).

74996801460 is an abundant number, since it is smaller than the sum of its proper divisors (200637556812).

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

74996801460 is a wasteful number, since it uses less digits than its factorization.

74996801460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51983 (or 51978 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 74996801460 in words is "seventy-four billion, nine hundred ninety-six million, eight hundred one thousand, four hundred sixty".