73861652475936 has 384 divisors, whose sum is σ = 238332383251200. Its totient is φ = 22106792263680.

The previous prime is 73861652475913. The next prime is 73861652475953. The reversal of 73861652475936 is 63957425616837.

It is a happy number.

73861652475936 is a `hidden beast` number, since 7 + 3 + 8 + 6 + 1 + 6 + 5 + 24 + 7 + 593 + 6 = 666.

It is a super-4 number, since 4×73861652475936⁴ (a number of 57 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1803198496 + ... + 1803239456.

It is an arithmetic number, because the mean of its divisors is an integer number (620657248050).

Almost surely, 2^{73861652475936} 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 73861652475936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119166191625600).

73861652475936 is an abundant number, since it is smaller than the sum of its proper divisors (164470730775264).

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

73861652475936 is a wasteful number, since it uses less digits than its factorization.

73861652475936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45369 (or 45355 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 73861652475936 in words is "seventy-three trillion, eight hundred sixty-one billion, six hundred fifty-two million, four hundred seventy-five thousand, nine hundred thirty-six".