73415769900 has 432 divisors, whose sum is σ = 248694082560. Its totient is φ = 16651008000.

The previous prime is 73415769881. The next prime is 73415769901. The reversal of 73415769900 is 996751437.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (73415769901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167233881 + ... + 167234319.

Almost surely, 2^73415769900 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 73415769900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124347041280).

73415769900 is an abundant number, since it is smaller than the sum of its proper divisors (175278312660).

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

73415769900 is a wasteful number, since it uses less digits than its factorization.

73415769900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 73415769900 in words is "seventy-three billion, four hundred fifteen million, seven hundred sixty-nine thousand, nine hundred".