73949922648 has 320 divisors, whose sum is σ = 251010144000. Its totient is φ = 19869297408.

The previous prime is 73949922611. The next prime is 73949922661. The reversal of 73949922648 is 84622994937.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11976490 + ... + 11982662.

It is an arithmetic number, because the mean of its divisors is an integer number (784406700).

Almost surely, 2^73949922648 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 73949922648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125505072000).

73949922648 is an abundant number, since it is smaller than the sum of its proper divisors (177060221352).

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

73949922648 is a wasteful number, since it uses less digits than its factorization.

73949922648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6343 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 73949922648 in words is "seventy-three billion, nine hundred forty-nine million, nine hundred twenty-two thousand, six hundred forty-eight".