9761700480 has 384 divisors, whose sum is σ = 37200885120. Its totient is φ = 2132680704.

The previous prime is 9761700461. The next prime is 9761700499. The reversal of 9761700480 is 840071679.

It is an interprime number because it is at equal distance from previous prime (9761700461) and next prime (9761700499).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9761700480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7109074 + ... + 7110446.

It is an arithmetic number, because the mean of its divisors is an integer number (96877305).

Almost surely, 2^9761700480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9761700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600442560).

9761700480 is an abundant number, since it is smaller than the sum of its proper divisors (27439184640).

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

9761700480 is a wasteful number, since it uses less digits than its factorization.

9761700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 9761700480 is about 98801.3182098296. The cubic root of 9761700480 is about 2137.1835660300.

The spelling of 9761700480 in words is "nine billion, seven hundred sixty-one million, seven hundred thousand, four hundred eighty".