47361600000 has 1440 divisors, whose sum is σ = 209445844608. Its totient is φ = 10137600000.

The previous prime is 47361599983. The next prime is 47361600017. The reversal of 47361600000 is 616374.

47361600000 is a `hidden beast` number, since 47 + 3 + 616 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47361599983) and next prime (47361600017).

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2059199989 + ... + 2059200011.

Almost surely, 2^47361600000 is an apocalyptic number.

47361600000 is a gapful number since it is divisible by the number (40) 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 47361600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104722922304).

47361600000 is an abundant number, since it is smaller than the sum of its proper divisors (162084244608).

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

47361600000 is a wasteful number, since it uses less digits than its factorization.

47361600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

It can be divided in two parts, 4736 and 1600000, that added together give a triangular number (1604736 = T₁₇₉₁).

The spelling of 47361600000 in words is "forty-seven billion, three hundred sixty-one million, six hundred thousand".