47976294600 has 288 divisors, whose sum is σ = 178944573600. Its totient is φ = 11809324800.

The previous prime is 47976294571. The next prime is 47976294629. The reversal of 47976294600 is 649267974.

It is a happy number.

47976294600 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 6 + 29 + 4 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (47976294571) and next prime (47976294629).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 886315 + ... + 938885.

It is an arithmetic number, because the mean of its divisors is an integer number (621335325).

Almost surely, 2^47976294600 is an apocalyptic number.

47976294600 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 47976294600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89472286800).

47976294600 is an abundant number, since it is smaller than the sum of its proper divisors (130968279000).

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

47976294600 is a wasteful number, since it uses less digits than its factorization.

47976294600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52622 (or 52594 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 47976294600 in words is "forty-seven billion, nine hundred seventy-six million, two hundred ninety-four thousand, six hundred".