74721911040 has 648 divisors, whose sum is σ = 316612820160. Its totient is φ = 16178061312.

The previous prime is 74721911003. The next prime is 74721911051. The reversal of 74721911040 is 4011912747.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74721910986 and 74721911004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10721637 + ... + 10728603.

Almost surely, 2^74721911040 is an apocalyptic number.

74721911040 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 74721911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158306410080).

74721911040 is an abundant number, since it is smaller than the sum of its proper divisors (241890909120).

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

74721911040 is a wasteful number, since it uses less digits than its factorization.

74721911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 74721911040 in words is "seventy-four billion, seven hundred twenty-one million, nine hundred eleven thousand, forty".