73534061952 has 512 divisors, whose sum is σ = 253338624000. Its totient is φ = 20790411264.

The previous prime is 73534061891. The next prime is 73534061981. The reversal of 73534061952 is 25916043537.

73534061952 is a `hidden beast` number, since 7 + 3 + 53 + 406 + 195 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73534061898 and 73534061907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32841249 + ... + 32843487.

It is an arithmetic number, because the mean of its divisors is an integer number (494802000).

Almost surely, 2^73534061952 is an apocalyptic number.

73534061952 is a gapful number since it is divisible by the number (72) 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 73534061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126669312000).

73534061952 is an abundant number, since it is smaller than the sum of its proper divisors (179804562048).

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

73534061952 is a wasteful number, since it uses less digits than its factorization.

73534061952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 73534061952 in words is "seventy-three billion, five hundred thirty-four million, sixty-one thousand, nine hundred fifty-two".