76470677640 has 640 divisors, whose sum is σ = 299748556800. Its totient is φ = 17126484480.

The previous prime is 76470677611. The next prime is 76470677677. The reversal of 76470677640 is 4677607467.

76470677640 is a `hidden beast` number, since 7 + 6 + 470 + 67 + 76 + 40 = 666.

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 159 ways as a sum of consecutive naturals, for example, 400369945 + ... + 400370135.

It is an arithmetic number, because the mean of its divisors is an integer number (468357120).

Almost surely, 2^76470677640 is an apocalyptic number.

76470677640 is a gapful number since it is divisible by the number (70) 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 76470677640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149874278400).

76470677640 is an abundant number, since it is smaller than the sum of its proper divisors (223277879160).

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

76470677640 is a wasteful number, since it uses less digits than its factorization.

76470677640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 76470677640 in words is "seventy-six billion, four hundred seventy million, six hundred seventy-seven thousand, six hundred forty".