47761307040 has 96 divisors (see below), whose sum is σ = 152509162176. Its totient is φ = 12561868800.

The previous prime is 47761307039. The next prime is 47761307107. The reversal of 47761307040 is 4070316774.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×47761307040² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47761307040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646486 + ... + 716565.

It is an arithmetic number, because the mean of its divisors is an integer number (1588637106).

Almost surely, 2^47761307040 is an apocalyptic number.

47761307040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47761307040 is an abundant number, since it is smaller than the sum of its proper divisors (104747855136).

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

47761307040 is a wasteful number, since it uses less digits than its factorization.

47761307040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363142 (or 1363134 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 47761307040 in words is "forty-seven billion, seven hundred sixty-one million, three hundred seven thousand, forty".