47463761400 has 192 divisors, whose sum is σ = 167493208320. Its totient is φ = 11006054400.

The previous prime is 47463761399. The next prime is 47463761407. The reversal of 47463761400 is 416736474.

47463761400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47463761400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47463761407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4537 + ... + 308136.

It is an arithmetic number, because the mean of its divisors is an integer number (872360460).

Almost surely, 2^47463761400 is an apocalyptic number.

47463761400 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 47463761400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83746604160).

47463761400 is an abundant number, since it is smaller than the sum of its proper divisors (120029446920).

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

47463761400 is a wasteful number, since it uses less digits than its factorization.

47463761400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312726 (or 312717 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 47463761400 in words is "forty-seven billion, four hundred sixty-three million, seven hundred sixty-one thousand, four hundred".